Hypersurfaces with constant scalar curvature in space forms
From MaRDI portal
Publication:5917842
DOI10.1007/BF01444220zbMath0864.53040OpenAlexW2084283992MaRDI QIDQ5917842
Publication date: 17 June 1997
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/183009
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)
Related Items (76)
A characterization for totally real submanifolds using self-adjoint differential operator ⋮ Linear Weingarten submanifolds in unit sphere ⋮ Nonnegative sectional curvature hypersurfaces in a real space form ⋮ Characterizations of a Clifford hypersurface in a unit sphere via Simons' integral inequalities ⋮ Submanifolds with constant scalar curvature in a space form ⋮ Rigidity theorem of hypersurfaces with constant scalar curvature in a unit sphere ⋮ Complete hypersurfaces with constant mean curvature in a unit sphere ⋮ A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality ⋮ Rigidity theorem for hypersurfaces in a unit sphere ⋮ Stable hypersurfaces with constant scalar curvature ⋮ On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ Stability of hypersurfaces with constant \((r+1)\)-th anisotropic mean curvature ⋮ On the geometry of linear Weingarten hypersurfaces in the hyperbolic space ⋮ Complete hypersurfaces with constant scalar curvature in spheres ⋮ Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume ⋮ Characterizations of linear Weingarten submanifolds ⋮ Global rigidity theorems of hypersurfaces ⋮ Submanifolds with constant scalar curvature in a unit sphere ⋮ Reilly type inequality for the first eigenvalue of the \(L_{r;F}\) operator ⋮ Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues ⋮ Frame bundle approach to generalized minimal submanifolds ⋮ Some new characterizations of the Wulff shape ⋮ Prime and almost prime integral points on principal homogeneous spaces ⋮ Some rigidity results of minimal submanifolds in space forms ⋮ Remarks on Gap Theorems for Complete Hypersurfaces with Constant Scalar Curvature ⋮ Rigidity of spacelike LW-submanifolds in the de Sitter space ⋮ Proper biharmonic submanifolds in a sphere ⋮ New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles ⋮ A class of minimal Lagrangian submanifolds in complex hyperquadrics ⋮ On complete hypersurfaces with constant mean and scalar curvatures in Euclidean spaces ⋮ First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature ⋮ Characterizations of a Clifford Hypersurface in a Unit Sphere ⋮ Hypersurfaces with two distinct principal curvatures in a real space form ⋮ A new characterization of the Clifford torus via scalar curvature pinching ⋮ Unnamed Item ⋮ Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms ⋮ Complete hypersurfaces in a Euclidean space \(\mathbb R^{n+1}\) with constant \(m\)-th mean curvature ⋮ A new variational characterization of the Wulff shape ⋮ Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature ⋮ Hypersurfaces with isotropic para-Blaschke tensor ⋮ COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY ⋮ Stability of area-preserving variations in space forms ⋮ A maximum principle for hypersurfaces with constant scalar curvature and applications ⋮ \(r\)-minimal submanifolds in space forms ⋮ Integral formula of Minkowski type and new characterization of the Wulff shape ⋮ Linear Weingarten submanifolds in the hyperbolic space ⋮ A variational problem for submanifolds in a sphere ⋮ Complete hypersurfaces with \(H_k=0\) in a unit sphere ⋮ J. Simons' type integral formula for hypersurfaces in a unit sphere ⋮ A survey on curvatures of Hessian manifolds ⋮ On spacelike hypersurfaces with constant scalar curvature in the de Sitter space ⋮ A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors ⋮ Complete linear Weingarten hypersurfaces immersed in the hyperbolic space ⋮ Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres ⋮ Unnamed Item ⋮ Rigidity theorem for complete spacelike hypersurfaces with constant scalar curvature in Lorentz spaces ⋮ Submanifolds with parallel normalized mean curvature vector in a unit sphere ⋮ A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ A Möbius characterization of submanifolds in real space forms with parallel mean curvature and constant scalar curvature ⋮ Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces ⋮ Unnamed Item ⋮ Hypersurfaces with constant scalar curvature in space forms ⋮ A Simons type integral inequality for closed submanifolds in the product space \(\mathbb{S}^n\times\mathbb{R}\) ⋮ Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space H 1 n+1 (−1) ⋮ Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space ⋮ Real hypersurfaces of complex space forms satisfying Fischer-Marsden equation ⋮ Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in de Sitter space ⋮ Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\) ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere ⋮ An inequality between Willmore functional and Weyl functional for submanifolds in space forms ⋮ Rigidity theorems of hypersurfaces in locally symmetric Riemannian manifold ⋮ Rigidity theorems for closed hypersurfaces in a unit sphere ⋮ Sharp Simons type integral inequalities for closed linear Weingarten submanifolds in a space form ⋮ Hypersurface of the hyperbolic space with constant scalar curvature
Cites Work
- The unitary dual for complex classical Lie groups
- Asymptotic properties of unitary representations
- Connection of the dual space of a group with the structure of its closed subgroups
- Sur certains groupes d'opérateurs unitaires
- The Dual Spaces of C ∗ -Algebras
- A Notion of Rank for Unitary Representations of General Linear Groups
- Linear Symmetries of Free Boson Fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Hypersurfaces with constant scalar curvature in space forms
