Boundary regularity and stability for spaces with Ricci bounded below

DOI10.1007/s00222-021-01092-8OpenAlexW3104806286WikidataQ125907507 ScholiaQ125907507MaRDI QIDQ2131231

Aaron Naber, Daniele Semola, Elia Bruè

Publication date: 25 April 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08383

zbMATH Keywords

Hausdorff measuresRCD spacesvolume estimatesGromov-Hausdorff limitsneck decompositionneck regions

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Partial differential equations on manifolds; differential operators (58Jxx) Manifolds and measure-geometric topics (49Qxx)

Related Items (14)

Isoperimetric sets in spaces with lower bounds on the Ricci curvature ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces ⋮ A note on the topological stability theorem from RCD spaces to Riemannian manifolds ⋮ Asymptotically mean value harmonic functions in subriemannian and RCD settings ⋮ On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds ⋮ Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Unique continuation problem on RCD spaces. I ⋮ Subgraphs of BV functions on RCD spaces ⋮ The metric measure boundary of spaces with Ricci curvature bounded below ⋮ Removable sets and \(L^p\)-uniqueness on manifolds and metric measure spaces ⋮ Torus stability under Kato bounds on the Ricci curvature

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