Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments
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Publication:6191985
DOI10.1515/crelle-2023-0087arXiv2206.02105MaRDI QIDQ6191985
Santiago Cordero-Misteli, Giada Franz
Publication date: 12 February 2024
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02105
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40)
Cites Work
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- On the topology and index of minimal surfaces
- The Riemannian obstacle problem
- On complete minimal surfaces with finite Morse index in three manifolds
- Manifolds of nonpositive curvature
- Compactness of minimal hypersurfaces with bounded index
- Comparing the Morse index and the first Betti number of minimal hypersurfaces
- Compactness analysis for free boundary minimal hypersurfaces
- Index estimates for free boundary minimal hypersurfaces
- Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory
- Inequivalent complexity criteria for free boundary minimal surfaces
- The singular structure and regularity of stationary varifolds
- Virtual immersions and minimal hypersurfaces in compact symmetric spaces
- A note on the singular set of area-minimizing hypersurfaces
- Curvature estimates for stable free boundary minimal hypersurfaces
- Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
- Minimal hypersurfaces with bounded index
- Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces
- One-sided complete stable minimal surfaces
- Compactness and generic finiteness for free boundary minimal hypersurfaces. I
- Min-max theory for free boundary minimal hypersurfaces. II: General Morse index bounds and applications
- Index bounds for free boundary minimal surfaces of convex bodies
- Index bounds for minimal hypersurfaces of the sphere
- Geometric Curvature Bounds in Riemannian Manifolds with Boundary
- New applications of Min-max Theory
- Shorter Note: Orientability of Hypersurfaces in R n
- On the topology and index of minimal surfaces. II
- Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces