The aim of the unit is to study foundations of the geometry of manifolds including the concept of an abstract manifold, Riemannian metric and curvature, and to provide students with a firm grounding ...

One of the intriguing aspects of K-theory is its connection to the geometry of manifolds, particularly in the context of positive scalar curvature. Recent research has explored various facets of K ...

EXC 2044 - B1: Smooth, singular and rigid spaces in geometry Many interesting classes of Riemannian manifolds are precompact in the Gromov-Hausdorfftopology. The closure of such a class usually ...