A Ricci curvature criterion for compactness of Riemannian manifolds

DOI10.1007/BF01899248zbMath0497.53046WikidataQ61978235 ScholiaQ61978235MaRDI QIDQ1170791

Steen Markvorsen

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Ricci curvaturecompactnessdiameter

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Integral curvature bounds and diameter estimates on Finsler manifolds ⋮ Symmetrization of starlike domains in Riemannian manifolds and a qualitative generalization of Bishop's volume comparison theorem ⋮ Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

Cites Work

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• A theorem of Myers
• Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds
• A generalization of Myers theorem and an application to relativistic cosmology
• On complete open manifolds of positive curvature

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