MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



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