Geometric, topological and differentiable rigidity of submanifolds in space forms
From MaRDI portal
Publication:382287
DOI10.1007/s00039-013-0231-xzbMath1283.53053arXiv1111.2099OpenAlexW2059447785MaRDI QIDQ382287
Publication date: 18 November 2013
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.2099
Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)
Related Items (19)
A sharp differentiable pinching theorem for submanifolds in space forms ⋮ Cohomology vanishing theorems for free boundary submanifolds ⋮ Surface diffusion flow of arbitrary codimension in space forms ⋮ Some rigidity results of minimal submanifolds in space forms ⋮ Mean curvature flow of arbitrary codimension in complex projective spaces ⋮ Null homology in warped product Lagrangian submanifolds of the nearly Kaehler \(\mathbb{S}^6\) and its applications ⋮ Rigidity of Einstein manifolds with positive scalar curvature ⋮ Some differentiable sphere theorems ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ Optimal lower eigenvalue estimates for Hodge-Laplacian and applications ⋮ Generalized Ejiri's rigidity theorem for submanifolds in pinched manifolds ⋮ Rigidity of minimal submanifolds in space forms ⋮ Differentiable rigidity of hypersurface in space forms ⋮ Pinching problems of minimal submanifolds in a product space ⋮ Rigidity of closed submanifolds in a locally symmetric Riemannian manifold ⋮ Homology groups in warped product submanifolds in hyperbolic spaces ⋮ Homology vanishing theorems for pinched submanifolds ⋮ Sphere theorems for Lagrangian and Legendrian submanifolds ⋮ Global rigidity theorems for submanifolds with parallel mean curvature
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean curvature flow of higher codimension in hyperbolic spaces
- Mean curvature flow of pinched submanifolds to spheres
- Classification of manifolds with weakly 1/4-pinched curvatures
- A general convergence result for the Ricci flow in higher dimensions
- Topological and differentiable sphere theorems for complete submanifolds
- Ricci deformation of the metric on a Riemannian manifold
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- A generalized sphere theorem
- Compact minimal submanifolds of a sphere with positive Ricci curvature
- A rigidity theorem for submanifolds with parallel mean curvature in a sphere
- On the structure of spaces with Ricci curvature bounded below. I
- On eigenvalue pinching in positive Ricci curvature
- Three-manifolds with positive Ricci curvature
- On stable currents and their application to global problems in real and complex geometry
- The sphere theorems for manifolds with positive scalar curvature
- An optimal differentiable sphere theorem for complete manifolds
- Manifolds with positive curvature operators are space forms
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- Manifolds with 1/4-pinched curvature are space forms
- Classification of almost quarter-pinched manifolds
- Sphere Theorems in Geometry
- Curvature Pinching for Three-Dimensional Minimal Submanifolds in a Sphere
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Submanifolds with Constant Mean Curvature
- The extension and convergence of mean curvature flow in higher codimension
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Submanifolds and a Pinching Problem on the Second Fundamental Tensors
- A Pinching Theorem for Homotopy Spheres
This page was built for publication: Geometric, topological and differentiable rigidity of submanifolds in space forms
