On the fundamental group of manifolds with almost nonnegative Ricci curvature

DOI10.1090/S0002-9939-03-06885-0zbMath1040.53042OpenAlexW1527331556MaRDI QIDQ4804115

Seong-Hun Paeng

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06885-0

zbMATH Keywords

almost nonnegative Ricci curvaturealmost nilpotent group

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• Collapsing Riemannian manifolds to ones of lower dimensions
• Controlled geometry via smoothing
• The fundamental groups of almost nonnegatively curved manifolds
• \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
• Ricci curvature and Betti numbers
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• On the smoothness of isometries
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Almost flat manifolds
• A generalized almost flat manifold under a bounded weak \(C^{0,\alpha}\)-norm

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