Hypersurfaces with prescribed curvatures in the de Sitter space

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space
On the umbilicity of complete constant mean curvature spacelike hypersurfaces
On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms
A characterization of totally umbilical hypersurfaces in de Sitter space
Linear Weingarten spacelike hypersurfaces in de Sitter space
The Riemannian product structures of spacelike hypersurfaces with constant \(k\)-th mean curvature in the de Sitter spaces
Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space
The Codazzi equation for surfaces
Conformal deformation of a Riemannian metric to constant scalar curvature
On spacelike hypersurfaces with constant mean curvature in the de Sitter space
The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
Global rigidity theorems of hypersurfaces
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
Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
Isolated maximal surfaces in spacetime
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
Spacelike hypersurfaces with constant scalar curvature
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
Volume comparison and the \(\sigma_k\)-Yamabe problem
On space-like hypersurfaces in the de Sitter space
Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
Uniqueness of immersed spheres in three-manifolds
On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in de Sitter space
L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
Applications of Duschek’s formula to cosmology and minimal surfaces
Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
A Report on Harmonic Maps
On some conformally invariant fully nonlinear equations
Uniqueness theorems for surfaces in the large. I, II, III, IV, V
Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature