A half-space property for hypersurfaces in the hyperbolic space
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Publication:6622148
DOI10.4064/AP230629-31-1MaRDI QIDQ6622148
Marco Antonio Lázaro Velásquez
Publication date: 22 October 2024
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)
Cites Work
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- On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- On the Gauss map of complete CMC hypersurfaces in the hyperbolic space
- On Alexandrov-Bernstein theorems in hyperbolic space
- Hypersurfaces with constant scalar curvature
- Stable hypersurfaces with constant scalar curvature
- The maximum principle for hypersurfaces with vanishing curvature functions
- On the Gauss mapping of hypersurfaces with constant scalar curvature in \(\mathbb H^{n+1}\)
- Mean curvature in the light of scalar curvature
- Mean curvature rigidity of horospheres, hyperspheres, and hyperplanes
- On the rigidity of hypersurfaces into space forms
- A maximum principle at infinity with applications to geometric vector fields
- Complete CMC hypersurfaces in the hyperbolic space with prescribed Gauss mapping
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
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