Closed hypersurfaces with constant mean curvature in a symmetric manifold

zbMath1152.53045MaRDI QIDQ953938

Hong-Wei Xu, Xin An Ren

Publication date: 7 November 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1221656650

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items

Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold ⋮ Characterizations of complete hypersurfaces in locally symmetric Riemannian manifolds ⋮ Unnamed Item ⋮ Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds ⋮ Rigidity of closed submanifolds in a locally symmetric Riemannian manifold ⋮ Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds ⋮ Rigidity theorems of hypersurfaces in locally symmetric Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Deforming hypersurfaces of the sphere by their mean curvature
• Totally umbilic hypersurfaces
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• A rigidity theorem for submanifolds with parallel mean curvature in a sphere
• Submanifolds with parallel mean curvature vector in pinched Riemannian manifolds
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• Submanifolds with Constant Mean Curvature
• A general rigidity theorem for complete submanifolds
• Hypersurfaces with Constant Mean Curvature in Spheres
• On Closed Minimal Submanifolds in Pinched Riemannian Manifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length