A new characterization of the Clifford torus via scalar curvature pinching
From MaRDI portal
Publication:461718
DOI10.1016/J.JFA.2014.09.004zbMath1303.53075arXiv1308.3788OpenAlexW2963946921MaRDI QIDQ461718
Publication date: 13 October 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.3788
Related Items (4)
A new gap for complete hypersurfaces with constant mean curvature in space forms ⋮ On Chern's conjecture for minimal hypersurfaces and rigidity of self-shrinkers ⋮ On the generalized Chern conjecture for hypersurfaces with constant mean curvature in a sphere ⋮ Global rigidity theorems for submanifolds with parallel mean curvature
Cites Work
- Unnamed Item
- Unnamed Item
- Embedded minimal tori in \(S^3\) and the Lawson conjecture
- A new pinching theorem for closed hypersurfaces with constant mean curvature in \(S^{n+1}\)
- On Chern's problem for rigidity of minimal hypersurfaces in the spheres
- Normal scalar curvature conjecture and its applications
- On minimal hypersurfaces with constant scalar curvatures in \(S^ 4\)
- The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Hypersurfaces with constant scalar curvature
- A closed hypersurface with constant scalar and mean curvatures in \(\mathbb{S}^ 4\) is isoparametric
- A rigidity theorem for submanifolds with parallel mean curvature in a sphere
- On spectral characterizations of minimal hypersurfaces in a sphere
- Chern's conjecture on minimal hypersurfaces
- The scalar curvature of minimal hypersurfaces in spheres
- Embedded constant mean curvature tori in the three-sphere
- The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
- Embedded Weingarten tori in \(S^3\)
- Alexandrov immersed minimal tori in \(S^3\)
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- The unknottedness of minimal embeddings
- Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
- SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN UNIT SPHERES
- SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES
- CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES
- The pinching constant of minimal hypersurfaces in the unit spheres
- SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE
- Seminar on Differential Geometry. (AM-102)
- Submanifolds with Constant Mean Curvature II
- A characterization of the Clifford torus
- On Closed Minimal Submanifolds in Pinched Riemannian Manifolds
- THE SCALAR CURVATURE OF MINIMAL HYPERSURFACES IN A UNIT SPHERE
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Hypersurfaces with constant scalar curvature in space forms
- Scalar curvature of minimal hypersurfaces in a sphere
This page was built for publication: A new characterization of the Clifford torus via scalar curvature pinching