On the Gauss mapping of hypersurfaces with constant scalar curvature in \(\mathbb H^{n+1}\)
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Publication:2015856
DOI10.1007/s00574-014-0043-0zbMath1293.53073OpenAlexW2083575075WikidataQ126036221 ScholiaQ126036221MaRDI QIDQ2015856
Publication date: 24 June 2014
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-014-0043-0
Related Items (4)
ON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACE ⋮ Characterizing horospheres of the hyperbolic space via higher order mean curvatures ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature
Cites Work
- The geometry of closed conformal vector fields on Riemannian spaces
- On the Gauss map of complete CMC hypersurfaces in the hyperbolic space
- Hypersurfaces with constant scalar curvature
- Existence of constant mean curvature graphs in hyperbolic space
- Complete non-compact spacelike hypersurfaces of constant mean curvature in de Sitter spaces
- Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
- A new proof of Liebmann classical rigidity theorem for surfaces in space forms
- On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds
- On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere
- On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space
- Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Hypersurfaces with Constant Mean Curvature in Spheres
- CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES
- RIGIDITY OF HYPERSURFACES IN A EUCLIDEAN SPHERE
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