Rigidity for positive Ricci curvature via metric measure geometry (Q2042455)

scientific article; zbMATH DE number 7373012

Language	Label	Description	Also known as
English	Rigidity for positive Ricci curvature via metric measure geometry	scientific article; zbMATH DE number 7373012

Statements

instance of

scholarly article

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title

Rigidity for positive Ricci curvature via metric measure geometry (English)

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author

Shouhei Honda

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publication date

20 July 2021

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zbMATH Keywords

Ricci curvature

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Sobolev space and Laplacian

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.2969/aspm/08510151

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cites work

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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New stability results for sequences of metric measure spaces with uniform Ricci bounds from below

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Continuity of nonlinear eigenvalues in \(\mathrm{CD}(K,\infty )\) spaces with respect to measured Gromov-Hausdorff convergence

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Short-time behavior of the heat kernel and Weyl's law on \(\mathrm{RCD}^*(K,N)\) spaces

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Weak and strong convergence of derivations and stability of flows with respect to MGH convergence

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Q5693288

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Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

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Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds

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Differentiability of Lipschitz functions on metric measure spaces

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Lower bounds on Ricci curvature and the almost rigidity of warped products

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Eigenvalue comparison theorems and its geometric applications

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Shape of manifolds with positive Ricci curvature

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An eigenvalue pinching theorem

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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Collapsing of Riemannian manifolds and eigenvalues of Laplace operator

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An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature

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On the differential structure of metric measure spaces and applications

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Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

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\(p\)-Laplace operator and diameter of manifolds

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Ricci curvature and \(L^{p}\)-convergence

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Cones over metric measure spaces and the maximal diameter theorem

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Obata's rigidity theorem for metric measure spaces

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Q3274645

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Ricci curvature for metric-measure spaces via optimal transport

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First eigenvalue for the \(p\)-Laplace operator

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Riemannian manifolds with positive mean curvature

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Certain conditions for a Riemannian manifold to be isometric with a sphere

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Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

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On the geometry of metric measure spaces. I

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Identifiers

zbMATH Open document ID

1470.53041

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Mathematics Subject Classification ID

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10.2969/ASPM/08510151

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Sitelinks

Mathematics(1 entry)

mardi Publication:2042455