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Martin Bauer

Professor

Department of Mathematics, Florida State University

Office: 422 Love Building | Email: mbauer2@fsu.edu

Research Interests

Infinite Dimensional Riemannian Geometry — Geometric Data Sciences — Shape Analysis — Information Geometry — Optimal Transport — Geometric PDEs — Calculus of Variations

Graduate Students and Postdoctoral Scholars

Postdoctoral Scholars
Emery Pierson (2023); subsequent position: Postdoctoral Scholar at Ecole Polytechnique Paris;
Patrick Heslin (2021-2022); subsequent position: Postdoctoral Scholar at the Max Planck Institute Leipzig;
Jakob Møller-Andersen (2017-2018); subsequent position: research scientist at 3Shape

Graduate Students
Jonathan Cerqueira (2022-present);
Mao Nishino (2022-present);
Justin Valletta (2021-2025); subsequent position: postdoc at Wake Forrest;
Emmanuel Hartman (2020-2024); subsequent position: postdoc at the University of Houston;
Yuxiu Lu (2020-2023); subsequent position: faculty at Nanjing University of Science and Technology;
Zhe Su (2016-2020); subsequent position: tenure track faculty at Auburn University;

Research Interns
Emery Pierson (2023);
Thomas Pierron (2021-2022);
Juan Margalef Bentabol (2016);

Co-authors

R. Bertram, C. Bouaichi, M. Bruveris, K. Campbell, J. Cerqueira, N. Charon, E. Cismas, H. Dai, M. Daoudi, J. Escher, M. Eslitzbichler, T. Fidler, T. Fletcher, K. Gallivan, M. Grasmair, H. Hang, P. Harms, E. Hartman, P. Heslin, H. Hsieh, S. Ishida, S. Joshi, E. Klassen, B. Kolev, S. Kurtek, H. Laga, A. Le Brigant, Y. Lu, C. Maor, L. Mander, S. Marsland, F. Memoli, P. W. Michor, W. Mio, G. Misiołek, K. Modin, J. Møller-Andersen, O. Müller, A. Nash, T. Needham, C. Neese, M. Nishino, K. Odegaard, T. Pierron, E. Pierson, S. Preston, C. Rottman, M. Shakeshaft, Z. Su, Y. Sukurdeep, J. Valletta, R. Vincis, L. Younes

Publications

Preprints:
  1. M. Bauer, A. Le Brigant, and C. Maor. A Riemannian viewpoint on the Amari--Cencov alpha-connections and Proudman--Johnson equations. arXiv:2508.00371.
  2. E. Hartman, M. Bauer, N. Charon. Self Supervised Networks for Learning Latent Space Representations of Human Body Scans and Motions. arXiv:2411.03475.
  3. M. Bauer, F. Memoli, T. Needham, M. Nishino. The Z-Gromov-Wasserstein Distance. arXiv:2408.08233
  4. M. Bauer, S. Ishida, P. Michor. Symplectic structures on the space of space curves. arXiv:2407.19908.
Peer-reviewed Articles:
  1. M. Bauer, S. Preston, J. Valletta. Breakdown of smooth solutions to the subcritical EPDiff equation. Calculus of Variations and Partial Differential Equations (forthcoming)
    arXiv:2503.19780.
  2. M. Bauer, N. Charon, T. Needham, M. Nishino. Path constrained unbalanced optimal transport. Nonlinearity (forthcoming)
    arXiv:2402.15860.
  3. J. Cerqueira, E. Hartman, E. Klassen, M. Bauer. Sobolev Metrics on Spaces of Discrete Regular Curves. Discrete and Continuous Dynamical Systems (DCDS) (forthcoming)
    arXiv:2409.02351
  4. M. Bauer, P. Harms, P. Michor. Regularity and completeness of half-Lie groups. Journal of the European Mathematical Society (forthcoming)
    arXiv:2302.01631.
  5. A. Nash, M. Shakeshaft, C. Bouaichi, K. Odegaard, T. Needham, M. Bauer, R. Bertram, R. Vincis. Cortical Coding of Gustatory and Thermal Signals in Active Licking Mice. The Journal of Physiology 603.4 (2025): 909-928
    biorxiv:10.1101/2024.04.27.591293.
  6. E. Hartman, E. Pierson, M. Bauer, M. Daoudi, N. Charon. Basis restricted elastic shape analysis on the space of unregistered surfaces. International Journal of Computer Vision Volume 133, pages 1999–2024, (2025)
    arXiv:2311.04382.
  7. M. Bauer, S. Preston, J. Valletta. Liouville comparison theory for blowup of Euler-Arnold equations. Journal of Differential Equations 407 (2024), 392-431
    doi:10.1016/j.jde.2024.07.009, arXiv:2306.09748.
  8. M. Bauer, P. Heslin, G. Misiołek, S. Preston. Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations. Mathematische Annalen 2024.
    doi:10.1007/s00208-024-02867-z, arXiv:2312.04697.
  9. M. Bauer, P. Heslin, C. Maor. Completeness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves. The Journal of Geometric Analysis 34, 214 (2024).
    doi:10.1007/s12220-024-01652-3, arXiv:2312.17497.
  10. M. Bauer, N. Charon, E. Klassen, S. Kurtek, T. Needham, T. Pierron. Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms. Journal of Nonlinear Science 34, 56 (2024).
    doi:10.1007/s00332-024-10035-5, arXiv:2209.09862.
  11. M. Bauer, J. Møller-Andersen, S. Preston. Isometric Immersions and the Waving of Flags. Archive for Rational Mechanics and Analysis 248, 38 (2024).
    doi:10.1007/s00205-024-01978-w, arXiv:1905.06378.
  12. M. Bauer, A. Le Brigant, Y. Lu and C. Maor. The L^p Fisher-Rao metric and Amari-Cencov alpha-connections. Calculus of Variations and Partial Differential Equations 63.2 (2024): 1-33
    doi:10.1007/s00526-024-02660-5, arXiv:2306.14533.
  13. E. Hartman, M. Bauer, E. Klassen. Square Root Normal Fields for Lipschitz surfaces and the Wasserstein Fisher Rao metric. SIAM Journal on Mathematical Analysis 56.2 (2024): 2171-2190.
    doi:10.1007/978-3-031-34048-2_23, arXiv:2301.00284.
  14. E. Hartman, E. Pierson, M. Bauer, N. Charon, M. Daoudi. BaRe-ESA: A Riemannian Framework for Unregistered Human Body Shapes. International Conference on Computer Vision 2023 (ICCV23)
    arXiv:2211.13185.
  15. H. Dai, M. Bauer, T. Fletcher, S. Joshi. Modeling the Shape of the Brain Connectome via Deep Neural Networks Information Processing in Medical Imaging 2023 (IPMI 2023)
    doi:10.1007/978-3-031-34048-2_23, arXiv:2203.06122.
  16. E. Hartman, Y. Sukurdeep, E. Klassen, N. Charon, M. Bauer. Elastic shape analysis of surfaces with second-order Sobolev metrics: a comprehensive numerical framework. International Journal of Computer Vision 31 (2023): 1183–1209.
    doi:10.1007/s11263-022-01743-0, arXiv:2204.04238.
  17. C. Neese, C. Bouaichi, T. Needham, M. Bauer, R. Bertram, R. Vincis. Active licking shapes cortical taste coding. The Journal of Neuroscience 42.46 (2022): 8658-8669.
    doi:10.1523/JNEUROSCI.0942-22.2022, biorXiv:2022.05.13.491862v1.
  18. K. Campbell, H. Dai, Z Su, M. Bauer, T. Fletcher, S. Joshi. Integrated Construction of Multimodal Atlases with Structural Connectomes in the Space of Riemannian Metrics. The Journal of Machine Learning for Biomedical Imaging 1 (2022)
    doi:10.59275/j.melba.2022-a871, arXiv:2109.09808.
  19. M. Bauer, C. Maor, P. W. Michor. Sobolev metrics on spaces of manifold valued curves. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2023): 1895-1948.
    doi:10.2422/2036-2145.202010_016, arXiv:2007.13315.
  20. M. Bauer, E. Hartman, E. Klassen. The Square Root Normal Field Distance and Unbalanced Optimal Transport. Applied Mathematics and Optimization 85.3 (2022): 1-40.
    doi:10.1007/s00245-022-09867-y, arXiv:2105.06510.
    Code available here
  21. M. Bauer, Y. Lu, C. Maor. A geometric view on the generalized Proudman-Johnson and r-Hunter-Saxton equations. Journal of Nonlinear Science 32.1 (2022): 1-18.
    doi:10.1007/s00332-021-09775-5, arXiv:2101.03601.
  22. Y. Sukurdeep, M. Bauer, N. Charon. A new variational model for shape graph registration with partial matching constraints. SIAM J. Imaging Sci. 15.1 (2022): 261-292.
    doi:10.1137/21M1418587, arXiv:2105.00678.
    Code available here
  23. M. Bauer, M. Bruveris, P. Harms, P. Michor. Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. Communications in Mathematical Physics, (2022): 1-33.
    doi:10.1007/s00220-021-04264-y, arXiv:1810.03169.
  24. L. Mander, M. Bauer, H. Hang, W. Mio. Geometric and Topological Approaches to Shape Variation in Ginkgo Leaves. Royal Society Open Science, 8.11 (2021): 210978.
    doi:10.1098/rsos.210978, bioRxiv:2020.10.23.352476.
  25. M. Bauer, N. Charon, P. Harms, H. Hsieh. A numerical framework for elastic surface matching, comparison, and interpolation. International Journal of Computer Vision, 129: 2425–2444 (2021)
    doi:10.1007/s11263-021-01476-6, arXiv:2006.11652.
    Code available here
  26. E. Hartman, Y. Sukurdeep, N. Charon, E. Klassen, M. Bauer. Supervised deep learning of elastic SRV distances on the shape space of curves. 2021 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)
    doi:10.1080/00949655.2021.1891539, arXiv:2101.04929.
  27. K. Campbell, H. Dai, Z. Su, M. Bauer, T. Fletcher, S. Joshi. Structural Connectome Atlas Construction in the Space of Riemannian Metrics. Information Processing in Medical Imaging 2021 (IPMI 2021)
    doi:10.1007/978-3-030-78191-023, arXiv:2103.05730.
  28. M. Bauer, C. Maor. Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics. Calculus of Variations and Partial Differential Equations, 60:54, 2021.
    doi:10.1007/s00526-021-01918-6, arXiv:1910.04834.
  29. M. Bauer, N. Charon, E. Klassen, A. Le Brigant. Intrinsic Riemannian metrics on spaces of curves: theory and computation. In: Chen K., Schönlieb CB., Tai XC., Younces L. (eds): Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. Springer, Cham.
    doi:10.1007/978-3-030-03009-4_87-1, arXiv:2003.05590.
  30. M. Bauer, E. Klassen, S. Preston, Z. Su. A diffeomorphism-invariant metric on the space of vector-valued one-forms. Pure and Applied Mathematics Quarterly, 17.1 (2021): 141-183.
    doi:10.4310/PAMQ.2021.v17.n1.a4, arXiv:1812.10867.
  31. Z. Su, M. Bauer, K. Gallivan, E. Klassen. Simplifying Transformations for a Family of Elastic Metrics on the Space of Surfaces. 2020 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)
  32. Z. Su, M. Bauer, S. Preston, H. Laga, and E. Klassen. Shape analysis of surfaces using general elastic metrics. Journal of Mathematical Imaging and Vision, (2020).
    doi:10.1007%2Fs10851-020-00959-4, arXiv:1910.02045.
  33. M. Bauer, B. Kolev, S. Preston. Geodesic completeness of the H^(3/2) metric on Diff(S^1). Monatshefte für Mathematik, 1-13 (2020).
    doi:10.1007/s00605-020-01405-8, arXiv:1904.12523.
  34. M. Bauer, K. Modin. Semi-invariant Riemannian metrics in hydrodynamics. Calculus of Variations and Partial Differential Equations, 59:65 (2020).
    doi:10.1007/s00526-020-1722-x, arXiv:1810.03424.
  35. M. Bauer, P. Harms, P. Michor. Fractional Sobolev metrics on spaces of immersions. Calculus of Variations and Partial Differential Equations, 59:62 (2020).
    doi:10.1007/s00526-020-1719-5, arXiv:1909.08657.
  36. Y. Sukurdeep, M. Bauer, N. Charon. An inexact matching approach for the comparison of plane curves with general elastic metrics. Proceedings of the Asilomar Conference on Signals, Systems, & Computers, 2019.
    doi:10.1109/IEEECONF44664.2019.9049031, arXiv:2001.02858.
  37. M. Bauer, M. Bruveris, E. Cismas, J. Escher, B. Kolev. Well-posedness of the EPDiff equation with a pseudo-differential inertia operator. Journal of Differential Equations, 269.1 (2020) 288-325.
    doi:10.1016/j.jde.2019.12.008, arXiv:1911.03238.
  38. M. Bauer, P. Harms, S. Preston. Vanishing distance phenomena and the geometric approach to SQG. Arch Rational Mech Anal, 235, 1445–1466 (2020).
    doi:10.1007/s00205-019-01449-7, arXiv:1805.04401.
  39. M. Bauer, N Charon, P Harms. Inexact elastic shape matching in the square root normal field framework. In: Geometric Science of Information. Lecture Notes in Computer Science (Springer), pages 13-21, (2019). Editors: F. Nielsen and F. Barbaresco.
    ISBN 978-3-030-26980-7, arXiv:1903.00855.
  40. M. Bauer, N. Charon, L. Younes.Metric Registration of Curves and Surfaces using Optimal Control. Handbook of Numerical Analysis Volume 20, 2019, Pages 613-646. Editors: Ron Kimmel and Xue-Cheng Tai.
    doi:10.1016/bs.hna.2019.03.001, arXiv:1809.06422.
  41. M. Bauer, S. Joshi, K. Modin. Diffeomorphic density matching. In: Riemannian Geometric Statistics in Medical Image Analysis; Academic Press, 2020. pages 577-603. Editors: X. Pennec, S. Sommer and T. Fletcher.
    doi:0.1016/B978-0-12-814725-2.00025-X, arXiv:1807.05505.
  42. M. Bauer, M. Bruveris, N. Charon, J. Møller-Andersen. A relaxed approach for curve matching with elastic metrics. ESAIM: COCV, 25 (2019) 72
    doi:10.1051/cocv/2018053 , arXiv:1803.10893.
  43. Z. Su, M. Bauer, E. Klassen. Comparing Curves in Homogeneous Spaces. Differential Geometry and its Applications, 60 (2018), 9–32.
    doi:10.1016/j.difgeo.2018.05.001 , arXiv:1712.04586.
  44. M. Bauer, M. Bruveris, B. Kolev. Fractional Sobolev metrics on spaces of immersed curves. Calculus of Variations and Partial Differential Equations, (2018) 57:27.
    doi:10.1007/978-3-319-68445-1_16 , arXiv:1703.03323
  45. M. Bauer, S. Joshi, K. Modin. Diffeomorphic random sampling using optimal information transport. Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science, vol 10589. Springer.
    doi:10.1007/s0052 , arXiv:1704.07897
    Code available here,
  46. M. Bauer, M. Bruveris, P. Harms, P. Michor. Soliton solutions for the elastic metric on spaces of curves. Discrete and Continuous Dynamical Systems Series A, 38(3): 1161-1185.
    doi:10.3934/dcds.2018049 , arXiv:1702.04344
  47. M. Bauer, M. Bruveris, N. Charon and J. Møller-Andersen. Varifold-based matching of curves via Sobolev-type Riemannian metrics. 7th MICCAI workshop on Mathematical Foundations of Computational Anatomy, 2017.
    arXiv:1706.01821
  48. M. Bauer, S. Joshi, K. Modin. On Geodesic Completeness for Riemannian Metrics on Smooth Probability Densities. Calculus of Variations and Partial Differential Equations, (2017) 56:113, 2017.
    doi:10.1007/s00526-017-1195-8, arXiv:1702.08870.
  49. Z. Su, M. Bauer, E. Klassen. The Square Root Velocity Framework for Curves in a Homogeneous Space. 2017 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)
    doi:10.1109/CVPRW.2017.97, arXiv:1706.03095.
  50. M. Bauer, M. Eslitzbichler and M. Grasmair. Landmark-Guided Elastic Shape Analysis of Human Character Motions. Inverse Problems and Imaging ,Volume 11, No. 4, 2017, 601-621
    doi:10.3934/ipi.2017028 , arXiv:1502.07666.
    Code available here,
  51. M. Bauer, M. Bruveris, P. Harms and J. Møller-Andersen. A numerical framework for Sobolev metrics on the space of curves. SIAM J. Imaging Sci., 10(1), 47-73. (2017)
    doi:10.1137/16M1066282, arXiv:1603.03480,
    Code available here
  52. M. Bauer, P. Michor and Olaf Müller. Riemannian geometry of the space of volume preserving immersions. Differential Geometry and its Applications, 49 (2016), Pages 23-42
    doi:10.1016/j.difgeo.2016.07.002, arXiv:1603.05916
  53. M. Bauer, M. Bruveris, P. W. Michor. Uniqueness of the Fisher-Rao metric on the space of smooth densities. Bull. London Math. Soc. 48.3 (2016): 499-506.
    doi:10.1112/blms/bdw020, arXiv:1411.5577
  54. M. Bauer, B. Kolev and S. Preston. Geometric investigations of a vorticity model equation. Journal of Differential Equations, (1), 260 (2016), Pages 478–516.
    doi:10.1016/j.jde.2015.09.030, arXiv:1504.08029
  55. M. Bauer, M. Bruveris, P. W. Michor. Why use Sobolev metrics on the space of curves. Riemannian Computing in Computer Vision. Editors P. Turaga and A. Srivastava. 223-255, 2016.
    doi:10.1007/978-3-319-22957-7_11, arXiv:1502.03229
  56. M. Bauer, M. Bruveris, P. Harms, J. Møller-Andersen. Second order elastic metrics on the shape space of curves. 1st Workshp on Differential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories, 2015.
    doi:10.5244/C.29.DIFFCV.9, arXiv:1507.08816
  57. M. Bauer, M. Bruveris, P. Harms, J. Møller-Andersen. Curve matching with applications in medical imaging. 5th MICCAI workshop on Mathematical Foundations of Computational Anatomy, 2015.
    arXiv:1506.08840
  58. C. Rottman, M. Bauer, S. Joshi and K. Modin. Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration. 5th MICCAI workshop on Mathematical Foundations of Computational Anatomy, 2015.
    arXiv:1508.02543
  59. M. Bauer, S. Joshi and K. Modin. Diffeomorphic density matching by optimal information transport. SIAM J. Imaging Sci. 8(3):1718-1751, 2015.
    doi:10.1137/151006238, arXiv:1501.07635
  60. M. Bauer and P. Harms. Metrics on Spaces of Surfaces where Horizontality equals Normality. Differential Geometry and its Applications 39 (2015), pp. 166-183.
    doi:10.1016/j.difgeo.2014.12.008, arXiv:1403.1436
  61. M. Bauer, J. Escher and B. Kolev. Local and Global Well-posedness of the fractional order EPDiff equation on R^d. Journal of Differential Equations (6) 258 (2015), p. 2010-2053.
    doi:10.1016/j.jde.2014.11.021, arXiv:1411.4081
  62. M. Bauer, M. Grasmair and C. Kirisits. Optical Flow on Moving Manifolds. SIAM J. Imaging Sci. 2015, Vol. 8, No. 1, pp. 484-512.
    doi:10.1137/140965235, arXiv:1404.3885
  63. M. Bauer, M. Bruveris, S. Marsland and P. W. Michor. Constructing reparametrization invariant metrics on spaces of plane curves. Differ. Geom. Appl., 34C, 139-165, 2014.
    doi:10.1016/j.difgeo.2014.04.008, arXiv:1207:5965
  64. M. Bauer, M. Bruveris, P. W. Michor. R-transforms for H^2-metrics on spaces of plane curves. Geom. Imaging Comput., 1(1), 1-56, 2014.
    doi:10.4310/GIC.2014.v1.n1.a1, arXiv:1311.3526
  65. M. Bauer, M. Bruveris, P. W. Michor. The homogeneous Sobolev metric of order one on diffeomorphism groups on the real line. J. Nonlinear Sci, 24(5), 769-808, 2014.
    doi:10.1007/s00332-014-9204-y, arXiv:1209.2836
  66. M. Bauer, M. Bruveris, P. W. Michor. Overview of the geometries of shape spaces and diffeomorphism groups. J. Math. Imaging Vis., 50(1-2), 60-97, 2014.
    doi:10.1007/s10851-013-0490-z, arXiv:1305.1150
  67. M. Bauer, M. Bruveris, P. W. Michor. Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Ann. Glob. Anal. Geom., 44(4), 361-368, 2013.
    doi:10.1007/s10455-013-9370-4, arXiv:1211.7254
  68. M. Bauer, M. Bruveris, P. Harms and P. W. Michor. Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Ann. Glob. Anal. Geom., 44(1), 5-21, 2013.
    doi:10.1007/s10455-012-9353-x, arXiv:1105.0327
  69. M. Bauer, P. Harms and P. W. Michor. Sobolev metrics on the manifold of all Riemannian metrics. Journal of Differential Geometry 94, 2 (2013), 187-208.
    Euclid, arXiv:1102.3347
  70. M. Bauer, T. Fidler and M. Grasmair. Local Uniqueness of the Circular Integral Invariant. Inverse Problems and Imaging 7,1 (2013) 107-122.
    doi:10.3934/ipi.2013.7.107, arXiv:1107.4257
  71. M. Bauer, P. Harms and P. W. Michor. Sobolev Metrics on Shape Space, II: Weighted Sobolev Metrics and Almost Local Metrics. Journal of Geometric Mechanics 3, 4, 4 (2012), 365-383.
    doi:10.3934/jgm.2012.4.365, arXiv:1009.3616
  72. M. Bauer, M. Bruveris, P. Harms and P. W. Michor. Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Ann. Glob. Anal. Geom., 41(4), 461-472, 2012.
    doi:10.1007/s10455-011-9294-9, arXiv:1102.0236
  73. M. Bauer, M. Bruveris. A new Riemannian setting for surface registration. 3rd MICCAI workshop on Mathematical Foundations of Computational Anatomy, 2011.
    hal:inria-00624210, arXiv:1106.0620
  74. M. Bauer, P. Harms and P. W. Michor. Curvature weighted metrics on shape space of hypersurfaces in n-space. Differential Geometry and its Applications , 30 (2012), 33-41.
    doi:10.1016/j.difgeo.2011.10.002, arXiv:1102.0678
  75. M. Bauer, P. Harms and P. W. Michor. Sobolev metrics on shape space of surfaces. Journal of Geometric Mechanics 3, 4 (2011), 389-438.
    doi:10.3934/jgm.2011.3.389, arXiv:1009.3616
  76. M. Bauer, P. Harms and P. W. Michor. Almost local metrics on shape space of hypersurfaces in n-space. SIAM J. Imaging Sci. 5 (2012), 244-310.
    doi:10.1137/100807983, arXiv:1001.0717
Technical Reports:
  1. A. Singh, M. Bauer, S. Joshi. Physics Informed Convex Artificial Neural Networks (PICANNs) for Optimal Transport based Density Estimation. arXiv:2104.01194.
    Code available here
  2. M. Bauer and P. Harms. Metrics with prescribed horizontal bundle on spaces of curves. Proceedings of Math at the Rocks - Shape Analysis Workshop in Grundsund, 2015. doi:zenodo.33558, arXiv:1511.05889
  3. M. Bauer and P. Harms. Hörmander's condition for normal bundles on spaces of immersions. Proceedings of Math at the Rocks - Shape Analysis Workshop in Grundsund, 2015. doi:zenodo.33558, arXiv:1511.05883
  4. M. Bauer. Riemannian Metrics on spaces of densities, Kahler potentials, Riemannian metrics and diffeomorphisms Proceedings of Math in the Cabin - Shape Analysis Workshop in Gastein, 2014. hal-01076953
Theses:
  1. M. Bauer. Riemannian Geometry of Shape Spaces and Diffeomorphism Groups. habilitation thesis, University of Vienna, 2015.
  2. M. Bauer. Almost local metrics on shape space. doctoral thesis, University of Vienna, 2010.
  3. M. Bauer. Geodesics in Subriemannian Geometry. master thesis, Vienna University of Technology, 2008.