An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms
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Publication:658538
DOI10.1007/s10711-011-9588-xzbMath1232.53046OpenAlexW2094921418MaRDI QIDQ658538
Luis J. Alías, S. Carolina García-Martínez
Publication date: 12 January 2012
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-011-9588-x
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
Related Items (8)
Hypersurfaces with constant higher order mean curvature in Euclidean space ⋮ On complete Weingarten hypersurfaces under assumptions on the Gauss-Kronecker curvature ⋮ Remarks on hypersurfaces in a unit sphere ⋮ New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms ⋮ Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space ⋮ Scalar curvature estimates of constant mean curvature hypersurfaces in locally symmetric spaces ⋮ A short note on a class of Weingarten hypersurfaces in \(\mathbb{R}^{n + 1} \) ⋮ Hypersurfaces with constant higher order mean curvature in space forms
Cites Work
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- Complete hypersurfaces with constant mean curvature in a unit sphere
- On the scalar curvature of constant mean curvature hypersurfaces in space forms
- Efimov's theorem in dimension greater than two
- Global rigidity theorems of hypersurfaces
- Rigidity of Clifford minimal hypersurfaces
- Surfaces of constant mean curvature in manifolds of constant curvature
- Rigidity of minimal hypersurfaces of spheres with two principal curvatures
- On the Omori-Yau maximum principle and its applications to differential equations and geometry
- The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)
- Isometric immersions of Riemannian manifolds
- Complete surfaces in \(E^ 3\) with constant mean curvature
- A formula of Simons' type and hypersurfaces with constant mean curvature
- Complete minimal surfaces in a sphere
- Familles de surfaces isoparametriques dans les espaces à courbure constante
- Hypersurfaces with constant mean curvature and two principal curvatures in <img id="_x0000_i1025" src="../../../../img/revistas/aabc/v76n3/a03img01.gif" align=absbottom>n+1
- Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$
- Rotation Hypersurfaces in Spaces of Constant Curvature
- Maximum principles on Riemannian manifolds and applications
- Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
- A pinching theorem for mimimal hypersurfaces in a sphere
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