| On geodesic mappings of general affine connexion spaces and of generalized Riemannian spaces |
| Svetislav Minčić and Mića Stanković |
Abstract In the present paper we define a geodesic mapping of two nonsymmetrical affine connexion spaces and obtain necessary and sufficient conditions that a mapping of two such spaces be geodesic (\S 1). Particularly we study a geodesic mapping of two generalized Riemannian spaces (\S 2). Finally, we generalize the notion of Thomas's projective parameters as an invariant of geodesic mappings (\S 3).
|
Keywords: Geodesic mapping, general affine connexion space, generalized Riemannian space, Thomas's parameters. |
MSC: 53B05 |
Pages: 27$-$33 |
Volume 49 , Issue 1 , 1997 |
