Morse inequalities for the area functional

DOI10.4310/jdg/1685121320zbMath1528.53011arXiv2003.01301MaRDI QIDQ6113402

André Neves, Fernando Codá Marques, Rafael Montezuma

Publication date: 9 August 2023

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01301

zbMATH Keywords

Morse inequalitiesminimal hypersurfacesmin-max theory

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory and related fixed-point theorems on manifolds (58J20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Other special differential geometries (53A40)

Related Items (3)

Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres ⋮ An improved Morse index bound of min-max minimal hypersurfaces ⋮ Multiplicity one for min-max theory in compact manifolds with boundary and its applications

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