Sphere theorems for RCD and stratified spaces (Q5161602)

scientific article; zbMATH DE number 7417792

Language	Label	Description	Also known as
English	Sphere theorems for RCD and stratified spaces	scientific article; zbMATH DE number 7417792

Statements

instance of

scholarly article

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title

Sphere theorems for RCD and stratified spaces (English)

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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publication date

1 November 2021

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full work available at URL

https://arxiv.org/abs/1907.03482

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zbMATH Keywords

topological sphere theorems

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RCD-spaces

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stratified spaces

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radius

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MaRDI profile type

MaRDI publication profile

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cites work

CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES

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Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions

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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

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On static three-manifolds with positive scalar curvature

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Metrics of positive Ricci curvature with large diameter

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Pincement sur le spectre et le volume en courbure de Ricci positive

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Spectral pinching in positive Ricci curvature

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Stratified spaces and synthetic Ricci curvature bounds

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Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

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On the structure of spaces with Ricci curvature bounded below. I

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Large manifolds with positive Ricci curvature

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Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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Non-collapsed spaces with Ricci curvature bounded from below

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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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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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Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below

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Ricci curvature and almost spherical multi-suspension

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Harmonic functions on asymptotic cones with Euclidean volume growth

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New differential operator and noncollapsed RCD spaces

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Kähler-Einstein metrics with edge singularities

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Q3525212

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On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces

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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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A sufficient condition to a regular set being of positive measure on spaces

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Lipschitz-volume rigidity in Alexandrov geometry

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Ricci curvature for metric-measure spaces via optimal transport

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An Obata singular theorem for stratified spaces

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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On the measure contraction property of metric measure spaces

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On manifold of positive Ricci curvature with large diameter

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Manifolds of Positive Ricci Curvature with Almost Maximal Volume

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On eigenvalue pinching in positive Ricci curvature

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On the geometry of metric measure spaces. I

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On the geometry of metric measure spaces. II

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A theorem on Riemannian manifolds of positive curvature operator

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Q4340772

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Optimal Transport

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Identifiers

zbMATH Open document ID

1482.53051

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DOI

10.2422/2036-2145.201908_005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5161602