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Collapsed Ricci limit spaces as non-collapsed RCD spaces (Q1987292)

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Language	Label	Description	Also known as
English	Collapsed Ricci limit spaces as non-collapsed RCD spaces	scientific article

Statements

scholarly article

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Collapsed Ricci limit spaces as non-collapsed RCD spaces (English)

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

14 April 2020

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full work available at URL

https://arxiv.org/abs/2002.08612

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zbMATH Keywords

metric measure space

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Ricci curvature

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Laplacian

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Hausdorff measure

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MaRDI profile type

MaRDI publication profile

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

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Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces

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Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

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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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Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces

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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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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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Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem

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A.D. Alexandrov spaces with curvature bounded below

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Embedding Riemannian manifolds by their heat kernel

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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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The globalization theorem for the curvature-dimension condition

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

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

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

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Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below

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

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Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications

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On a conjecture of Cheeger

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

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Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below

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Independence on \(p\) of weak upper gradients on \(\mathsf{RCD}\) spaces

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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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On the notion of parallel transport on \textsf{RCD} spaces

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Ricci tensor on \(\mathrm{RCD}^\ast(K,N)\) spaces

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The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds

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A weakly second-order differential structure on rectifiable metric measure spaces

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New differential operator and noncollapsed RCD spaces

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A note on the collapsing geometry of hyperkähler four manifolds

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

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On the volume measure of non-smooth spaces with Ricci curvature bounded below

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

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Ricci curvature for metric-measure spaces via optimal transport

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Noncollapsing examples with positive Ricci curvature and infinite topological type

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Examples of nonpolar limit spaces

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Examples of strictly weakly regular points

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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Alexandrov meets Lott--Villani--Sturm

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Local Poincaré inequalities from stable curvature conditions on metric spaces

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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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Optimal Transport

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Collapsing and pinching under a lower curvature bound

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Ricci curvature on Alexandrov spaces and rigidity theorems

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Weyl's law on \(RCD^{\ast} (K, N)\) metric measure spaces

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2020.021

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1987292

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