The gap phenomenon for extremal submanifolds in a sphere
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Publication:531713
DOI10.1016/j.difgeo.2010.11.001zbMath1216.53056OpenAlexW1987635900WikidataQ115357045 ScholiaQ115357045MaRDI QIDQ531713
Publication date: 19 April 2011
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.11.001
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
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Cites Work
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Willmore submanifolds in a sphere.
- \(L_{n/2}\)-pinching theorems for submanifolds with parallel mean curvature in a sphere
- A variational problem for submanifolds in a sphere
- Curvature and rigidity of Willmore submanifolds
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- Some remarks on minimal submanifolds
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
