Boju–Funar type theorems via m-Bakry–Émery and m-modified Ricci curvatures

DOI10.1142/S0129167X21500518OpenAlexW3153179954WikidataQ113777574 ScholiaQ113777574MaRDI QIDQ4958313

Homare Tadano

Publication date: 7 September 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21500518

zbMATH Keywords

\(m\)-Bakry-Émery Ricci curvatureMyers type theorem\(m\)-modified Ricci curvatureBoju-Funar type theoremCheeger-Gromov-Taylor type theorem

Mathematics Subject Classification ID

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

Cites Work

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• Some Cheeger-Gromov-Taylor type compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures
• A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor
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• A remark on compact Ricci solitons
• On Ricci curvature and geodesics
• \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)
• An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality
• Recent Progress on Ricci Solitons

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