Isoperimetric sets in spaces with lower bounds on the Ricci curvature

DOI10.1016/j.na.2022.112839zbMath1501.53053arXiv2107.03124OpenAlexW3182230020WikidataQ125918756 ScholiaQ125918756MaRDI QIDQ2132486

Marco Pozzetta, Gioacchino Antonelli, Enrico Pasqualetto

Publication date: 28 April 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03124

zbMATH Keywords

deformation lemmaRCD spacesquasi-perimetersvolume constrained minimizers

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)

Related Items (9)

Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds ⋮ Isoperimetric clusters in homogeneous spaces via concentration compactness ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces ⋮ First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry ⋮ Optimal transport approach to Michael-Simon-Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds ⋮ The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis ⋮ The Cheeger problem in abstract measure spaces

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