Compactness in weighted manifolds and applications

DOI10.1007/S00025-014-0427-XzbMath1327.53037OpenAlexW1978405109MaRDI QIDQ498379

Marcos Petrúcio De A. Cavalcante, Márcio S. Santos, Jobson Q. Oliveira

Publication date: 28 September 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0427-x

zbMATH Keywords

Riccati equationBakry-Émery Ricci curvature tensorclosure theorem

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Myers' type theorem with the Bakry-Émery Ricci tensor ⋮ Myers' theorem for complete Riemannian hypersurfaces ⋮ Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\) ⋮ \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters ⋮ Myers-type compactness theorem with the Bakry-Emery Ricci tensor ⋮ Laplacian comparison theorem on Riemannian manifolds with modified \(m\)-Bakry-Emery Ricci lower bounds for \(m\leq1\) ⋮ Some compactness results by elliptic operators ⋮ Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature ⋮ Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds

Cites Work

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• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• A remark on Einstein warped products
• Myers-type theorems and some related oscillation results
• A theorem of Myers
• Comparison geometry for the Bakry-Emery Ricci tensor
• A generalization of Myers theorem and an application to relativistic cosmology
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator
• A theorem of Ambrose for Bakry-Emery Ricci tensor
• A remark on compact Ricci solitons
• Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Ricci almost solitons
• On a theorem of Ambrose
• Energy density and spatial curvature in general relativity
• ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE
• The geometry of Markov diffusion generators

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