Global Riemannian geometry concentrates on a general understanding of the interactions between local and global properties of curved spaces, and manifolds with almost nonnegative curvature have here turned out to play a crucial role in investigating the interplay of lower curvature bounds and global shape through geometric limiting processes and collapsing techniques. The present research project aims at establishing new topological obstructions to the existence of almost nonnegatively and nonnegatively curved metrics on closed manifolds and finding further geometrical properties of these spaces.
DFG Programme
Priority Programmes
International Connection
Canada, USA
