A Bishop-type inequality on metric measure spaces with Ricci curvature bounded below
From MaRDI portal
Publication:2980833
DOI10.1090/proc/13517zbMath1371.53039arXiv1603.04162OpenAlexW2962811035MaRDI QIDQ2980833
Publication date: 4 May 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.04162
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (16)
On the structure of RCD spaces with upper curvature bounds ⋮ Non-collapsed spaces with Ricci curvature bounded from below ⋮ Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ A note on the topological stability theorem from RCD spaces to Riemannian manifolds ⋮ Asymptotically mean value harmonic functions in subriemannian and RCD settings ⋮ CD meets CAT ⋮ New differential operator and noncollapsed RCD spaces ⋮ A note on the collapsing geometry of hyperkähler four manifolds ⋮ On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces ⋮ Weakly noncollapsed RCD spaces with upper curvature bounds ⋮ Isometric immersions of RCD spaces ⋮ A sufficient condition to a regular set being of positive measure on spaces ⋮ Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces ⋮ Weakly non-collapsed RCD spaces are strongly non-collapsed ⋮ On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Cites Work
- Unnamed Item
- Unnamed Item
- On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
- Characterization of low dimensional \(RCD^\ast(K, N)\) spaces
- On the structure of \({\mathcal A}\)-free measures and applications
- Local curvature-dimension condition implies measure-contraction property
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature
- Uniformly convex metric spaces
- Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- From volume cone to metric cone in the nonsmooth setting
- Localization and tensorization properties of the curvature-dimension condition for metric measure spaces
- Finsler interpolation inequalities
- Ricci curvature and volume convergence
- On the structure of spaces with Ricci curvature bounded below. I
- On the structure of spaces with Ricci curvature bounded below. II
- On the structure of spaces with Ricci curvature bounded below. III
- On the notion of parallel transport on \textsf{RCD} spaces
- Lower bound of coarse Ricci curvature on metric measure spaces and eigenvalues of Laplacian
- Ricci curvature for metric-measure spaces via optimal transport
- Structure theory of metric measure spaces with lower Ricci curvature bounds
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Heat flow on Finsler manifolds
- Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
- On the volume measure of non-smooth spaces with Ricci curvature bounded below
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
This page was built for publication: A Bishop-type inequality on metric measure spaces with Ricci curvature bounded below