On geodesic mappings of general affine connexion spaces and of generalized Riemannian spaces

Authors

  • Svetislav Minčić University of Niš, Faculty of Philosophy, Department of Mathematics, Ćirila i Metodija 2, 18000 Niš, Yugoslavia Author
  • Mića Stanković University of Niš, Faculty of Philosophy, Department of Mathematics, Ćirila i Metodija 2, 18000 Niš, Yugoslavia Author

Keywords:

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

Subjects:

53B05

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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Published

1997-01-15

Issue

Vol. 49 No. 1 (1997): Vol. 49, Issue 1

Section

Articles

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Copyright (c) 1997 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.