Manifold Geometry II (doctoral course)

This is the continuation of "Manifold Geometry I" and is intended for doctoral students as well as Masters students in Differential Geometry. We will discuss (pseudo) - Riemannian metrics on manifolds and the related theory leading to the theory of connections, geodesics and curvature and culminating in comparison theory. If time allows, we will also touch upon the interplay of curvature and topology.