A gap theorem for minimal submanifolds in Euclidean space
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Publication:2256808
DOI10.1016/J.CRMA.2014.11.009zbMath1308.53022OpenAlexW1966430100MaRDI QIDQ2256808
Publication date: 23 February 2015
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2014.11.009
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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Cites Work
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- On Chern's problem for rigidity of minimal hypersurfaces in the spheres
- Mean curvature flow of pinched submanifolds to spheres
- Gap theorems for minimal submanifolds of Euclidean space
- Gap theorems for certain submanifolds of Euclidean spaces and hyperbolic space forms
- Curvature estimates for minimal hypersurfaces
- On the proof of the positive mass conjecture in general relativity
- Proof of the Riemannian Penrose inequality using the positive mass theorem.
- Gap theorems for minimal submanifolds in \(\mathbb{R}^{n+1}\)
- A general gap theorem for submanifolds with parallel mean curvature in \(\mathbb R^{n+p}\)
- The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- Gap theorems for certain submanifolds of euclidean space and hyperbolic space form II
- Submanifolds with Constant Mean Curvature II
- Some old and new results about rigidity of critical metric
- MINIMAL SUBMANIFOLDS
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
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