An isoperimetric inequality of minimal hypersurfaces in spheres
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Publication:6112916
DOI10.2140/pjm.2023.324.143arXiv2203.06619OpenAlexW4381615500MaRDI QIDQ6112916
Publication date: 10 July 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06619
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)
Cites Work
- Unnamed Item
- Isoparametric foliation and Yau conjecture on the first eigenvalue
- On minimal hypersurfaces with constant scalar curvatures in \(S^ 4\)
- A first eigenvalue estimate for minimal hypersurfaces
- The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere
- Isoperimetric inequalities on minimal submanifolds of space forms
- Chern's conjecture on minimal hypersurfaces
- \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets
- A sufficient condition for a hypersurface to be isoparametric
- Isoparametric foliation and Yau conjecture on the first eigenvalue. II.
- Minimal immersions of Riemannian manifolds
- Minimal varieties in Riemannian manifolds
- On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere
- On the Chern conjecture for isoparametric hypersurfaces
- First eigenvalue of symmetric minimal surfaces in $\mathbb{S}^3$
- Heat Equations on Minimal Submanifolds and Their Applications
- A note on the isoperimetric constant
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
- The isoperimetric inequality
- Minimal surfaces in $$S^3$$ : a survey of recent results
- The isoperimetric inequality for a minimal submanifold in Euclidean space
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