On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

DOI10.1007/s00526-022-02193-9zbMath1494.53049arXiv2107.07318OpenAlexW3181830709WikidataQ114017972 ScholiaQ114017972MaRDI QIDQ2113333

Gioacchino Antonelli, Mattia Fogagnolo, Marco Pozzetta, Elia Bruè

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07318

zbMATH Keywords

existenceasymptotic coneisoperimetric regionsnon-negative Ricci curvatureEuclidean volume growthRCD\((0,n)\) space

Mathematics Subject Classification ID

Variational inequalities (49J40) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

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 ⋮ Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis

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