Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds
From MaRDI portal
Publication:4960131
DOI10.1093/imrn/rny070zbMath1436.53022arXiv1703.02119OpenAlexW3102225392WikidataQ125800355 ScholiaQ125800355MaRDI QIDQ4960131
Fabio Cavalletti, Andrea Mondino
Publication date: 8 April 2020
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02119
Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)
Related Items
Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem, Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range, Optimal transportation, modelling and numerical simulation, Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below, A comparison theorem for cosmological lightcones, Isoperimetric sets in spaces with lower bounds on the Ricci curvature, Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds, Ball covering property and number of ends of \(\mathsf{CD}\) spaces with non-negative curvature outside a compact set, An upper bound on the revised first Betti number and a torus stability result for \textsf{RCD} spaces, New formulas for the Laplacian of distance functions and applications, Failure of strong unique continuation for harmonic functions on RCD spaces, Causal bubbles in globally hyperbolic spacetimes, Kähler manifolds with curvature bounded below, Unique continuation problem on RCD spaces. I, Ricci curvature in dimension 2, Ricci curvature integrals, local functionals, and the Ricci flow, Gluing constructions for Lorentzian length spaces, Local isoperimetric inequalities in metric measure spaces verifying measure contraction property, Collapsed manifolds with Ricci bounded covering geometry, Isoperimetric inequality under measure-contraction property, Ricci flow smoothing for locally collapsing manifolds