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

Published 11 Dec 2022 in math.DG | (2212.05530v1)

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.

Authors (1)
  1. Zhu Ye 
Citations (5)
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