The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis

DOI10.1142/s0219199722500687zbMath1530.49010arXiv2101.12711WikidataQ115245742 ScholiaQ115245742MaRDI QIDQ6186946

Gioacchino Antonelli, Mattia Fogagnolo, Marco Pozzetta

Publication date: 10 January 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12711

zbMATH Keywords

Ricci curvatureisoperimetric problemconstant sectional curvatureGromov-Hausdorff convergenceRCD spacefinite perimeter setGromov-Hausdorff asymptotic analysis

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) 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) Non-Euclidean differential geometry (53A35)

Related Items (1)

Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces

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