On manifolds with quadratic curvature decay

Abstract

We give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadractic curvature decay and some properties of the asymptotic cones of such a manifold.

References in corpus (1)

• Asymptotical flatness and cone structure at infinity

Cited by in corpus (1)

• Topological finiteness for asymptotically nonnegatively curved manifolds