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The Topology of Open Manifolds with Nonnegative Ricci Curvature

Zhongmin Shen·Christina Sormani
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Abstract

We survey all results concerning the topology of complete noncompact Riemannian manifolds with nonnegative Ricci curvature that have no additional conditions other than restrictions to the dimension, volume growth or diameter growth of the manifold. We will also present relevant examples and list open problems.

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Zhongmin Shen, Christina Sormani. 2006-11-16. The Topology of Open Manifolds with Nonnegative Ricci Curvature. https://arxiv.org/abs/math/0606774

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