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math.DGJun 1, 2020
1
citations (OpenAlex)
authors
  • Jiayin Pan
institutions
  • University of California, Santa Barbara
arXiv abstractPDF
paper

The Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature

arXiv:2006.00745 · doi:10.3842/SIGMA.2020.078

Abstract

We survey the results on fundamental groups of open manifolds with nonnegative Ricci curvature. We also present some open questions on this topic.

References in corpus (7)

  • Structure of fundamental groups of manifolds with Ricci curvature bounded below
  • The Topology of Open Manifolds with Nonnegative Ricci Curvature
  • Nonnegative Ricci curvature, stability at infinity, and finite generation of fundamental groups
  • Ricci curvature and isometric actions with scaling nonvanishing property
  • On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature
  • Nonnegative Ricci curvature and escape rate gap
  • Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

Cited by in corpus (2)

  • Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity
  • Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups
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