Riemannian domains and complete spacelike hypersurfaces with one end in steady state type spacetimes

Applications of differential geometry to physics (53Z05) 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)

Cites Work

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On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms
A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds
Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
A note on compact Weingarten hypersurfaces embedded in \(\mathbb{R}^{n + 1}\)
On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space
Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space
Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes
Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms
Spacelike hypersurfaces with constant \(r\)th mean curvature in steady state type spacetimes
New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space
Isometric immersions of Riemannian manifolds
On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form
\(L\)-parabolic linear Weingarten spacelike hypersurfaces in a locally symmetric Einstein spacetime
On the rigidity of spacelike hypersurfaces immersed in the steady state space \mathcal H^{n+1}
Bernstein-type theorems in semi-Riemannian warped products
UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS
Harmonic functions on complete riemannian manifolds
INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER-ORDER MEAN CURVATURES LINEARLY RELATED IN CONFORMALLY STATIONARY SPACETIMES
Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
The Large Scale Structure of Space-Time
The Steady-State Theory of the Expanding Universe
A New Model for the Expanding Universe
Spacelike hypersurfaces with constant mean curvature in the steady state space
Spacelike hypersurfaces with constant mean curvature in the steady state space

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