Manifolds with Quadratic Curvature Decay and Slow Volume Growth

Details Manifolds with Quadratic Curvature Decay and Slow Volume Growth Manifolds with Quadratic Curvature Decay and Slow Volume Growth

1998-09-17

arxiv.org/abs/math/9809097v1

Mathematics

Differential Geometry

18 pages

Scientific paper

We show that there are topological obstructions for a noncompact manifold to
admit a Riemannian metric with quadratic curvature decay and a volume growth
which is slower than that of Euclidean space of the same dimension.

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