A note on the fundamental groups of manifolds with almost nonnegative curvature

DOI10.1090/S0002-9939-97-03756-8zbMath0881.53031OpenAlexW1916613035WikidataQ125975098 ScholiaQ125975098MaRDI QIDQ4336616

Gabjin Yun

Publication date: 13 May 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03756-8

zbMATH Keywords

Riemannian manifoldfundamental groupalmost nonnegative curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Noncompact Lie groups of transformations (57S20)

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Cites Work

• On the topology of complete manifolds of non-negative Ricci curvature
• Short geodesics and gravitational instantons
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Collapsing and pinching under a lower curvature bound
• The fundamental groups of almost nonnegatively curved manifolds
• Ricci curvature and volume convergence
• A note on curvature and fundamental group
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the Fundamental Groups of Manifolds with Almost-Nonnegative Ricci Curvature
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