Complete CMC spacelike hypersurfaces immersed in a Lorentzian product space
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Publication:2350504
DOI10.1007/s00013-015-0774-1zbMath1330.53076OpenAlexW859071332MaRDI QIDQ2350504
Henrique Fernandes de Lima, Cicero Pedro Aquino, Eraldo A. jun. Lima
Publication date: 24 June 2015
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-015-0774-1
hypersurfacesentire vertical graphsnonnegative sectional curvatureLorentzian product spacesnormal hyperbolic angle
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
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Cites Work
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- Parabolicity of maximal surfaces in Lorentzian product spaces
- On the Gauss map of complete spacelike hypersurfaces with bounded mean curvature in the Minkowski space
- Complete constant mean curvature surfaces and Bernstein type theorems in \(\mathbb M^2 \times \mathbb R\)
- Graphic Bernstein results in curved pseudo-Riemannian manifolds
- A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
- The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space
- New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
- Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
- Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
- On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
- Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space
- Isometric immersions of Riemannian manifolds
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- A local estimate for maximal surfaces in Lorentzian product spaces
- Harmonic functions on complete riemannian manifolds
- Vector fields and Ricci curvature
- Spacelike hypersurfaces with constant mean curvature in the steady state space
