Hypersurfaces in a sphere with constant mean curvature
From MaRDI portal
Publication:3127303
DOI10.1090/S0002-9939-97-03668-XzbMath0873.53040OpenAlexW1573515659MaRDI QIDQ3127303
Publication date: 8 April 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03668-x
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items
BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$ ⋮ Characterizing small spheres in a unit sphere by Fischer-Marsden equation ⋮ Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds ⋮ Rigidity theorems for hypersurfaces with constant mean curvature ⋮ Spacelike submanifolds with parallel mean curvature vector in \(S_{q}^{n+p}(1)\) ⋮ On closed minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^7\) ⋮ Harmonic sections normal to submanifolds and their stability ⋮ A pinching problem on submanifolds with parallel mean curvature vector field in a sphere ⋮ Submanifolds with parallel mean curvature vector in a sphere ⋮ Rigidity theorems of hypersurfaces in locally symmetric Riemannian manifold
Cites Work
- Unnamed Item
- Hypersurfaces with constant scalar curvature
- A rigidity theorem for submanifolds with parallel mean curvature in a sphere
- Submanifolds with parallel mean curvature vector in spheres
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- A formula of Simons' type and hypersurfaces with constant mean curvature
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Submanifolds with Constant Mean Curvature
- Hypersurfaces with Constant Mean Curvature in Spheres
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Submanifolds and a Pinching Problem on the Second Fundamental Tensors
