The manifolds with nonnegative Ricci curvature and collapsing volume

Zhan, Huashui

doi:10.1090/S0002-9939-07-08742-4

The manifolds with nonnegative Ricci curvature and collapsing volume
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Proc. Amer. Math. Soc. 135 (2007), 1923-1927 Request permission

Abstract:

Let $M$ be a complete noncompact $n$-manifold with collapsing volume and $Ric\geq 0$ . The paper proves that $M$ is of finite topological type under some restrictions on volume growth.

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