Spaces with a covariant constant linear geometric object
Spaces with non-symmetric affine connection.
Space-time distributions.
Space-times admitting a covariantly constant spinor field
Special adapted basis in .
Special compositions in affinely connected spaces without a torsion
2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition...
Special Einstein’s equations on Kähler manifolds
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
Spherical Hypersurfaces in Complex Manifolds.
Spherically symmetric generalized Lagrange metrics.
Spinorial solution associated to a radially symmetric radiation field in general relativity
Stable space-like hypersurfaces in the de Sitter space
In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.
Stanilov-Tsankov-Videv theory.
Statistical manifolds with maximal automorphisms group.
Statistical structures on tangent bundles.
Stochastic parallel transport and connections of
In this paper we prove that there is a bijective correspondence between connections of , the principal bundle of the second order frames of , and stochastic parallel transport in the tangent space of . We construct in a direct geometric way a prolongation of connections without torsion of to connections of . We interpret such prolongation in terms of stochastic calculus.
Strips with parallel second fundamental form in pseudo-Riemannian manifolds.
Strong duality principle for four-dimensional Osserman manifolds
Structure presque tangente et connexions I
On donne une nouvelle définition des connexions non linéaires et, plus généralement des connexions non homogènes, en faisant intervenir la structure presque tangente naturelle du fibré tangent.Ceci permet d’établir intrinsèquement les équations différentielles qui lient une connexion à sa gerbe.Ce formalisme est ensuite appliqué à l’étude des connexions sur une variété finslérienne et sur un système mécanique : on obtient dans le cas finslérien une généralisation du “théorème fondamental de la géométrie...
Structure presque tangente et connexions II
En utilisant le formalisme introduit dans un article précédent, on établit les relations qui lient les connexions non linéaires, sur une variété et les connexions linéaires sur le fibré vertical (connexions de vecteurs et de directions).Les résultats sont ensuite appliqués à la géométrie finslérienne et l’on interprète les connexions de Berwald et de Cartan en termes de relèvements particuliers de la connexion canonique.Dans le cadre d’un système mécanique, on montre qu’il existe un relèvement...
Subgroups of the group of generalized Lorentz transformations and their geometric invariants.