Regularity and compactness for stable codimension $1$ CMC varifolds

DOI10.4310/CDM.2017.V2017.N1.A3zbMath1428.53005OpenAlexW2961488948MaRDI QIDQ5242701

Neshan Wickramasekera

Publication date: 12 November 2019

Published in: Current Developments in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cdm.2017.v2017.n1.a3

zbMATH Keywords

Hausdorff measurecurvature estimatessingular setvolume-preserving deformationsgeneralized mean curvatureintegral \(n\)-varifold

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (5)

First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere ⋮ Evolution of form and shape ⋮ A diffused interface with the advection term in a Sobolev space ⋮ Regularity of minimal and CMC stable hypersurfaces: a brief overview ⋮ First \(\frac{2}{n}\)-stability eigenvalue of singular minimal hypersurfaces in space forms

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