Weyl law for the volume spectrum

DOI10.4007/annals.2018.187.3.7zbMath1390.53034arXiv1607.08721OpenAlexW2963227390WikidataQ114844296 ScholiaQ114844296MaRDI QIDQ1746450

Yevgeny Liokumovich, André Neves, Fernando Codá Marques

Publication date: 25 April 2018

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08721

zbMATH Keywords

Weyl lawmin-maxLusternik-Schnirelmannvolume spectrum

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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Cites Work

• Families of short cycles on Riemannian surfaces
• Width, Ricci curvature, and minimal hypersurfaces
• Upper bounds for eigenvalues of conformal metrics
• Minimax problems related to cup powers and Steenrod squares
• Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles
• Isoperimetry of waists and concentration of maps
• Density of minimal hypersurfaces for generic metrics
• Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
• Min-max theory and the Willmore conjecture
• Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains
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