On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature

DOI10.1512/iumj.2001.50.2048zbMath1040.53043arXivmath/9904096OpenAlexW2062275107MaRDI QIDQ4545168

Christina Sormani

Publication date: 14 August 2002

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904096

zbMATH Keywords

Ricci curvaturefundamental groupcomplete noncompact manifoldloops to infinity property

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature ⋮ Noncompact manifolds with nonnegative Ricci curvature ⋮ Complete self-shrinkers confined into some regions of the space ⋮ The fundamental groups of open manifolds with nonnegative Ricci curvature ⋮ The cut-off covering spectrum ⋮ Comparison geometry for an extension of Ricci tensor ⋮ Universal covers for Hausdorff limits of noncompact spaces ⋮ On the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-space ⋮ The Splitting Theorem and topology of noncompact spaces with nonnegative N-Bakry Émery Ricci curvature

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