Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)

DOI10.1016/j.difgeo.2021.101720zbMath1466.53045OpenAlexW3128180218WikidataQ115354626 ScholiaQ115354626MaRDI QIDQ2022413

Homare Tadano

Publication date: 29 April 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101720

zbMATH Keywords

\(m\)-Bakry-Émery Ricci curvatureMyers-type theoremAmbrose-type theoremGalloway-type theorem\(m\)-modified Ricci curvatureCheeger-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)

Related Items (3)

Boju–Funar type theorems via m-Bakry–Émery and m-modified Ricci curvatures ⋮ \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters ⋮ Laplacian comparison theorem on Riemannian manifolds with modified \(m\)-Bakry-Emery Ricci lower bounds for \(m\leq1\)

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