Sur l’holonomie des variétés pseudo-riemanniennes de signature
Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).
In this paper, we determine a class of possible restricted holonomy groups for a non-irreducible indecomposable pseudoriemannian manifold with signature (2,2 + n). In particular, we deduce that which associated to symmetric spaces; and give some examples of such spaces. Finally, we construct some examples of metrics whose restricted holonomy groups are not closed.
Sur une géométrisation de la mécanique relativiste de milieux continus à densité de spin
Surfaces of Revolution in the 3-Dimensional Lorentz-Minkowski space E(^3_1) satisfying Δ^111_r=A_r
Symmetric curvature-like tensors on a semi-definite Kähler manifolds.
Symmetries in 4-dimensional Lorentz manifolds.
Symmetries in relativistic dynamics of a charged particle
Synchronizable observer fields and their restspaces.
The automorphism groups of foliations with transverse linear connection
The category of foliations is considered. In this category morphisms are differentiable maps sending leaves of one foliation into leaves of the other foliation. We prove that the automorphism group of a foliation with transverse linear connection is an infinite-dimensional Lie group modeled on LF-spaces. This result extends the corresponding result of Macias-Virgós and Sanmartín Carbón for Riemannian foliations. In particular, our result is valid for Lorentzian and pseudo-Riemannian foliations.
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in
The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The geometrical interpretation of temporal cone norm in almost Minkowski manifold.
The geometry of a vector bundle endowed with a cone field.
The instability of naked singularities in the gravitational collapse of a scalar field.
The isotropic 3-sphere.
The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case
The resolution of the bounded curvature conjecture in general relativity
This paper reports on the recent proof of the bounded curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the -norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.
The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures