Riemannian Geometry, Spring 2016; Professor Klassen.
All problems are from the textbook by Boothby, Revised 2nd ed., published in 2003. The problems for the first 7 sections are the same as in the (un-revised) 2nd Edition. But after that, I haven't checked whether they are the same. The HW will not be collected. All these problems are suggested as vehicles to improve your understanding of the material. As you know, all students in the class are required to make a short presentation during the semester. The problems with a * next to them are problems I think would be suitable for such a presentation. If you want to present a problem without a star, or if you want to present something from a completely different source, please clear it with me in advance. A (D) next to a problem means it's already been presented so it's no longer available. A date next to a problem means someone has already informed me that they wish to present that problem so, again, unless you are that person, that problem is not available. To count, the presentation needs to be substantially complete and correct. If it is not, I may ask you to do another presentation.
I will revise this list as the semester proceeds.
| Section: | Problems: |
| III.1 | 2*(D),3,5*(D) |
| III.2 | 8*(1/27?) |
| III.3 | 1,8 |
| III.4 | 2 |
| III.5 | 1*(1/29?),6,7*(1/29) |
| III.6 | 3,6,9* |
| III.7 | 1,2,3,4,5,7,8,10* |
| IV.1 | 1,2,4 |
| IV.2 | 5,6,10,12 |
| IV.3 | 2,5,6,9*(2/26),10* |
| IV.6 | 4*,6 |
| IV.7 | 2,3,4,11 |
| IV.8 | 1,2*,5,6,7,8 |
| V.2 | 4*,5,6,7,9 |
| V.3 | 1* |
| V.4 | 2,3*,9* |
| VII.3 | 1,3,4,5 |
| VII.5 | (1,2)*,3,4 |
| VII.6 | 3*,5 |
| VII.7 | 1,2*,3*,4,5 |
| VII.8 | 1,2 |