MATEMATIČKI VESNIK
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MATEMATIČKI VESNIK
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).

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Keywords: Geodesic mapping, general affine connexion space, generalized Riemannian space, Thomas's parameters.

MSC: 53B05

Pages:  27$-$33     

Volume  49 ,  Issue  1 ,  1997