Integral radial \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and Ambrose-type theorems (Q6595836)

scientific article; zbMATH DE number 7904190

Language	Label	Description	Also known as
English	Integral radial \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and Ambrose-type theorems	scientific article; zbMATH DE number 7904190

Statements

instance of

scholarly article

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title

Integral radial \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and Ambrose-type theorems (English)

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author

Homare Tadano

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published in

Results in Mathematics

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publication date

30 August 2024

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zbMATH Keywords

Riemannian manifolds

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compactness theorems

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integral radial \(m\)-Bakry-Émery Ricci curvature

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Riccati inequality

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Bochner formula

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Myers-type theorem

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Ambrose-type theorem

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Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

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Q5186515

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Compactness in weighted manifolds and applications

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Q4026343

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A heat kernel lower bound for integral Ricci curvature

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Local Sobolev constant estimate for integral Ricci curvature bounds

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A remark on compact Ricci solitons

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Compactness Criteria for Riemannian Manifolds

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Integral curvature bounds and bounded diameter with Bakry-Emery Ricci tensor

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Erratum to: ``Integral curvature bounds and bounded diameter with Bakry-Emery Ricci tensor''

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Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary

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Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds

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New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds

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Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds

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Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature

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The Bakry-Emery Ricci tensor and its applications to some compactness theorems

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Myers-type theorems and some related oscillation results

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Beyond traditional Curvature-Dimension I: New model spaces for isoperimetric and concentration inequalities in negative dimension

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Riemannian manifolds with positive mean curvature

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\((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)

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Displacement convexity of generalized relative entropies

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Zhong-Yang type eigenvalue estimate with integral curvature condition

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Integral curvature bounds, distance estimates and applications

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Relative volume comparison with integral curvature bounds

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Analysis and geometry on manifolds with integral Ricci curvature bounds. II

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Neumann Li-Yau gradient estimate under integral Ricci curvature bounds

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Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds

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Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds

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First eigenvalue of the \(p\)-Laplacian under integral curvature condition

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Integral curvature bounds and bounded diameter

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Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature

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An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality

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Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures

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

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\(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters

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Comparison geometry for the Bakry-Emery Ricci tensor

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On a theorem of Ambrose

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Myers' type theorem with the Bakry-Émery Ricci tensor

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Comparison geometry for integral Bakry-Émery Ricci tensor bounds

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Correction to: ``Comparison geometry for integral Bakry-Émery Ricci tensor bounds''

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Comparison geometry for integral radial Bakry-Émery Ricci tensor bounds

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Sectional curvature for Riemannian manifolds with density

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A warped product version of the Cheeger-Gromoll splitting theorem

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ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE

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Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions

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A theorem of Ambrose for Bakry-Emery Ricci tensor

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Identifiers

zbMATH Open document ID

1547.53044

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Mathematics Subject Classification ID

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10.1007/S00025-024-02165-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:6595836