Existence of infinitely many minimal hypersurfaces in closed manifolds

DOI10.4007/annals.2023.197.3.1OpenAlexW4360745999MaRDI QIDQ2694211

Antoine Song

Publication date: 28 March 2023

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

Full work available at URL: https://arxiv.org/abs/1806.08816

zbMATH Keywords

minimal surfacewidthsmin-max theory

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres ⋮ Evolution of form and shape ⋮ Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ The p-widths of a surface ⋮ Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics ⋮ Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces ⋮ Multiplicity‐1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature ⋮ Multiplicity one for min-max theory in compact manifolds with boundary and its applications ⋮ Existence of infinitely many free boundary minimal hypersurfaces ⋮ Abundance of minimal surfaces ⋮ Existence of minimal hypersurfaces in complete manifolds of finite volume

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