Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space
A Lorentz surface of an indefinite space form is called a parallel surface if its second fundamental form is parallel with respect to the Van der Waerden-Bortolotti connection. Such surfaces are locally invariant under the reflection with respect to the normal space at each point. Parallel surfaces are important in geometry as well as in general relativity since extrinsic invariants of such surfaces do not change from point to point. Recently, parallel Lorentz surfaces in 4D neutral pseudo Euclidean...
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector in pseudo-Riemannian...
Complete Maximal spacelike hypersurfaces of H ...
Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector.
Complete space-like submanifolds in de Sitter space.
Complete space-like submanifolds with constant scalar curvature in a de Sitter space.
Complétude des deux-tores lorentziens
Complétude des variétés Lorentziennes à courbure constante.
Complétude et flots nul-géodésibles en géométrie lorentzienne
On étudie la complétude géodésique des flots nul-prégéodésiques sur les variétés lorentziennes compactes, ce qui donne une obstruction à être nul-géodésique. On montre que lorsque l’orthogonal du champ de vecteurs engendrant le flot considéré s’intègre en un feuilletage , la complétude du flot se lit sur l’holonomie de . On montre ainsi qu’il n’existe pas de flots nul-géodésiques lisses sur . On montre aussi qu’un -tore lorentzien est nul-complet si et seulement si ses feuilletages de type lumière...
Complex Analytic Curves and Maximal Surfaces.
Complex timelike isothermic surfaces and their geometric transformations.
Conformal geometry and spatially homogeneous cosmology
Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity
We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
Conformally Osserman Lorentzian manifolds
Construction de revêtements du groupe conforme d’un espace vectoriel muni d’une «métrique» de type
Contributions to polynomial conformal tensors
Correction to: Stabel Minimal Surfaces and Spatial Topology in General Relativity.
CR-submanifolds of a Lorentzian para-Sasakian manifold.
Curvature properties of φ-null Osserman Lorentzian S-manifolds
We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds and we use...