Projective Compactification of R^1,1 and its Möbius Geometry

John Emanuello, Craig Nolder

We examine the semi-Riemannian manifold R^1,1, which is realized as the split complex plane, and its conformal compactifcation as an analogue of the complex plane and the Riemann sphere. We also consider conformal maps on the compactifcation and study some of their basic properties.