Isoperimetric inequality in noncompact 𝖬𝖢𝖯 spaces
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Publication:5097341
DOI10.1090/proc/15945zbMath1501.53054arXiv2110.07528OpenAlexW4206283237MaRDI QIDQ5097341
Davide Manini, Fabio Cavalletti
Publication date: 23 August 2022
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07528
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (3)
Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ Optimal transport approach to Michael-Simon-Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds ⋮ Sharp log-Sobolev inequalities in \(\mathsf{CD}(0, N)\) spaces with applications
Cites Work
- Unnamed Item
- Perimeter as relaxed Minkowski content in metric measure spaces
- An optimal Poincaré inequality for convex domains
- Needle decompositions and isoperimetric inequalities in Finsler geometry
- Sub-Riemannian interpolation inequalities
- Geometric inequalities on Heisenberg groups
- Isoperimetric problems for convex bodies and a localization lemma
- The Monge problem for distance cost in geodesic spaces
- Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds
- Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
- The globalization theorem for the curvature-dimension condition
- Isoperimetric inequality under measure-contraction property
- Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
- Ricci curvature for metric-measure spaces via optimal transport
- On the measure contraction property of metric measure spaces
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces
- New formulas for the Laplacian of distance functions and applications
- Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature
- Failure of the local-to-global property for CD(K,N) spaces
- The isoperimetric inequality for a minimal submanifold in Euclidean space
- Book Review: Geometry of isotropic convex bodies
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