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Manifolds with Quadratic Curvature Decay and Slow Volume Growth

John Lott·Zhongmin Shen
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Abstract

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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John Lott, Zhongmin Shen. 1998-09-17. Manifolds with Quadratic Curvature Decay and Slow Volume Growth. https://arxiv.org/abs/math/9809097

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