Manifolds with Nonnegative and Almost Nonnegative Curvature

• Applicant: Professor Dr. Wilderich Tuschmann
• Subject Area: Mathematics
• Term: from 2007 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 43147860

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
• Subproject of: SPP 1154: Global Differential Geometry
• International Connection: Canada, USA
• Participating Persons: Professor Dr. Vitali Kapovitsch; Professor Anton Petrunin