On the existence of minimal hypersurfaces with arbitrarily large area and Morse index
From MaRDI portal
Publication:2108748
DOI10.2140/gt.2022.26.2713OpenAlexW3001017944MaRDI QIDQ2108748
Publication date: 20 December 2022
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.07689
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces
- The maximum principle for minimal varieties of arbitrary codimension
- Metrics without Morse index bounds
- Compactness of minimal hypersurfaces with bounded index
- Min-max for phase transitions and the existence of embedded minimal hypersurfaces
- Compactness analysis for free boundary minimal hypersurfaces
- Weyl law for the volume spectrum
- Density of minimal hypersurfaces for generic metrics
- Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory
- Existence of hypersurfaces with prescribed mean curvature I -- generic min-max
- On the multiplicity one conjecture in min-max theory
- Morse index of multiplicity one min-max minimal hypersurfaces
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
- Equidistribution of minimal hypersurfaces for generic metrics
- Min-max theory and the Willmore conjecture
- Minimal spheres of arbitrarily high Morse index
- Regularity of stable minimal hypersurfaces
- Minimal Hypersurfaces with Arbitrarily Large Area
- On the bumpy metrics theorem for minimal submanifolds
This page was built for publication: On the existence of minimal hypersurfaces with arbitrarily large area and Morse index
