18 research outputs found
Infinitesimal bending of a subspace of a space with non-symmetric basic tensor
Get PDFsummary:In this work infinitesimal bending of a subspace of a generalized Riemannian space (with non-symmetric basic tensor) are studied. Based on non-sym\-metry of the connection, it is possible to define four kinds of covariant derivative of a tensor. We have obtained derivation formulas of the infinitesimal bending field and integrability conditions of these formulas (equations)
Geometric interpretation of curvature and torsion tensors in a generalized Finsler space
No full textGeneralized Riemann Spaces
Get PDFsummary:In this paper we investigate holomorphically projective mappings of generalized Kählerian spaces. In the case of equitorsion holomorphically projective mappings of generalized Kählerian spaces we obtain five invariant geometric objects for these mappings
A New Type of Generalized Para-Kähler Spaces and Holomorphically Projective Transformations
No full textINFINITESIMAL DEFORMATIONS OF BASIC TENSOR IN GENERALIZED RIEMANNIAN SPACE
No full textAbstract. At the beginning of the present work the basic facts on generalized Riemannian space (GRN) in the sense of Eisenhart’s definition [Eis] and also on infinitesimal deformations of a space are given. We study the Lie derivatives and infinitesimal deformations of basic covariant and contravariant tensor at GRN. 1
