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Maximal First Betti Number Rigidity for Open Manifolds of Nonnegative Ricci Curvature

  • Zhu Ye

摘要

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