A note on compactness theorems for the Bakry-Émery Ricci tensor and generalized quasi-Einstein tensors

DOI10.1007/S00013-021-01620-1zbMath1476.53061OpenAlexW3172525956WikidataQ113906384 ScholiaQ113906384MaRDI QIDQ1984254

Sang Hun Lee

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.1007/s00013-021-01620-1

zbMATH Keywords

Myers theoremBakry-Émery Ricci tensordiameter estimatemean curvature comparisongeneralized quasi-Einstein tensor

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• On the \(h\)-almost Ricci soliton
• A theorem of Myers
• Comparison geometry for the Bakry-Emery Ricci tensor
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Myers' type theorem with the Bakry-Émery Ricci tensor
• Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures
• Diameter estimate for compact quasi-Einstein metrics
• A Myers theorem via \textit{m}-Bakry-Émery curvature
• A theorem of Ambrose for Bakry-Emery Ricci tensor
• An extension of Bonnet-Myers theorem
• Isotropic quasi-Einstein manifolds
• ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE
• Integral curvature bounds and bounded diameter

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