On the Non-Existence of Compact Lorentzian Manifolds with Constant Positive Curvature
In this Master's Thesis we study Semi-Riemannian Geometry. More speci cally, this is done by discussing some well-known classi cation theorems from Riemannian geometry and then showing some counter-examples to these in the semi-Riemannian setting. In particular, we brie y discuss the theorem by Hopf and Rinow, and give a counter-example to this in the semi-Riemannian setting. Moreover, we stud