Compactness of certain class of singular minimal hypersurfaces

DOI10.1007/s00526-021-02136-wzbMath1489.53088arXiv1901.05840OpenAlexW2908557072WikidataQ114018056 ScholiaQ114018056MaRDI QIDQ2062990

Akashdeep Dey

Publication date: 3 January 2022

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

Full work available at URL: https://arxiv.org/abs/1901.05840

zbMATH Keywords

geometric measure theorystationary varifoldJacobi eigenvalues

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

An improved Morse index bound of min-max minimal hypersurfaces ⋮ Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics

Cites Work

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• Compactness of the space of minimal hypersurfaces with bounded volume and \(p\)-th Jacobi eigenvalue
• Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces
• Min-max hypersurface in manifold of positive Ricci curvature
• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• Compactness of minimal hypersurfaces with bounded index
• Weyl law for the volume spectrum
• Density of minimal hypersurfaces for generic metrics
• A strong maximum principle for singular minimal hypersurfaces
• On the multiplicity one conjecture in min-max theory
• Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
• The second inner variation of energy and the Morse index of limit interfaces
• Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
• Equidistribution of minimal hypersurfaces for generic metrics
• On the fundamental group of a compact minimal submanifolds
• On the first variation of a varifold
• Regularity of stable minimal hypersurfaces
• Spectrum and index of two-sided Allen–Cahn minimal hypersurfaces
• On the bumpy metrics theorem for minimal submanifolds

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