Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature

Zhu Ye

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arXiv · 2212.05530

Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature

Zhu Ye

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Abstract

Let $M$ be an open Riemannian $n$-manifold with nonnegative Ricci curvature. We prove that if the first Betti number of $M$ equals $n-1$, then $M$ is flat.

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Zhu Ye. 2022-12-11. Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature. https://arxiv.org/abs/2212.05530

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