Topological finiteness for asymptotically nonnegatively curved manifolds

2009/04/13 by Yeganefar, Nader
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0904.1941

Abstract

We prove that a class of asymptotically nonnegatively curved manifolds (in the sense of Abresch) satisfying some uniform Euclidean type volume growth conditions contains only finitely many homeomorphism types.

Related

• Open manifolds with asymptotically nonnegative Ricci curvature and large volume growth
• Finiteness theorems for nonnegatively curved vector bundles
• Topology of Manifolds with Asymptotically Nonnegative Ricci Curvature
• Spaces of nonnegatively curved surfaces
• Nonnegatively and Positively curved manifolds