A compactness theorem in Riemannian manifolds

DOI10.1007/S00022-018-0427-1zbMath1394.53044OpenAlexW2792176605WikidataQ115389975 ScholiaQ115389975MaRDI QIDQ1754408

Yasemin Soylu

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0427-1

zbMATH Keywords

Myers theoremdistance functionBakry-Émery Ricci tensordiameter estimateRiccati comparison theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

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Cites Work

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• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• A Myers theorem via \textit{m}-Bakry-Émery curvature
• Riemannian manifolds with positive mean curvature
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• A probabilistic approach to the maximal diameter theorem

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