Finiteness and vanishing theorems for complete open Riemannian manifolds

DOI10.1090/S0273-0979-1989-15817-5zbMath0696.53028OpenAlexW2046998850WikidataQ115447993 ScholiaQ115447993MaRDI QIDQ3472794

Zhong-min Shen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15817-5

zbMATH Keywords

homotopy typeRicci curvaturesectional curvaturediameter growthcomplete open manifolddiameter of ends

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

A finiteness theorem for Ricci curvature in dimension three ⋮ A comparison-estimate of Toponogov type for Ricci curvature ⋮ Ball Covering on Manifolds With Nonnegative Ricci Curvature Near Infinity

Cites Work

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• Examples of complete manifolds with positive Ricci curvature
• Examples of manifolds of positive Ricci curvature
• Oscillation criteria for self-adjoint second-order differential systems and Principal sectional curvatures
• Integrals of subharmonic functions on manifolds of nonnegative curvature
• An elementary method in the study of nonnegative curvature
• On the structure of complete manifolds of nonnegative curvature
• On Complete Manifolds With Nonnegative Ricci Curvature
• Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups

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