On manifolds with quadratic curvature decay

Details On manifolds with quadratic curvature decay On manifolds with quadratic curvature decay

2005-10-27

arxiv.org/abs/math/0510596v1

Mathematics

Differential Geometry

Scientific paper

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.

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