Exécution de notre outil de synthèse sur un nouvel article
Vérifiez l’article ci-dessous, puis lancez sa synthèse.
Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds
В. Е. Березовский (Uman National University), Irena Hinterleitner (Brno University of Technology), Josef Mikeš (Palacký University Olomouc)
Résumé : In the present paper we investigate geodesic mappings of manifolds with affine connection onto Ricci symmetric manifolds which are characterized by the covariantly constant Ricci tensor. We obtained a fundamental system for this problem in a form of a system of Cauchy type equations in covariant derivatives depending on no more than n(n+1) real parameters. Analogous results are obtained for geodesic mappings of manifolds with affine connection onto symmetric manifolds.