On the fundamental group of Riemannian manifolds with nonnegative Ricci curvature

DOI10.1007/S10711-012-9730-4zbMath1259.53037OpenAlexW2033006037MaRDI QIDQ1938043

Bing Ye Wu

Publication date: 1 February 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-012-9730-4

zbMATH Keywords

fundamental groupnonnegative Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Fundamental group, presentations, free differential calculus (57M05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Extension of Bishop-Gromov volume comparison theorem by elliptic operators ⋮ The fundamental groups of open manifolds with nonnegative Ricci curvature ⋮ On the fundamental group of complete manifolds with almost Euclidean volume growth

Cites Work

• Unnamed Item
• On the topology of complete manifolds of non-negative Ricci curvature
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups.
• Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
• A note on curvature and fundamental group
• On the fundamental group of some open manifolds
• Riemannian Geometry

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