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Bounds on the fundamental group of a manifold with almost nonnegative Ricci curvature

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Publication:1342812
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DOI10.2969/jmsj/04620267zbMath0818.53058OpenAlexW2067972001MaRDI QIDQ1342812

Deane Yang, Steven Rosenberg

Publication date: 1 August 1995

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

Full work available at URL: https://doi.org/10.2969/jmsj/04620267


zbMATH Keywords

Ricci curvaturefundamental group


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


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SOME RESULTS ON FUNDAMENTAL GROUPS AND BETTI NUMBERS OF FINSLER MANIFOLDS ⋮ Integral curvature bounds and diameter estimates on Finsler manifolds ⋮ The isometry groups of compact manifolds with almost negative Ricci curvature ⋮ Homotopy and homology vanishing theorems and the stability of stochastic flows ⋮ Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds ⋮ The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature ⋮ Bounds on the fundamental groups with integral curvature bound ⋮ Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature ⋮ On some aspects of oscillation theory and geometry



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