On geodesic mappings of equidistant generalized Riemannian spaces |
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Authors: | Marija S ?iri? Milan Lj Zlatanovi? Mi?a S Stankovi? Ljubica S Velimirovi? |
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Institution: | Faculty of Science and Mathematics, Višegradska 33, 18000 Niš, Serbia |
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Abstract: | In this paper geodesic mappings of equidistant generalized Riemannian spaces are discussed. It is proved that each equidistant generalized Riemannian space of basic type admits non-trivial geodesic mapping with preserved equidistant congruence. Especially, there exists non-trivial geodesic mapping of equidistant generalized Riemannian space onto equidistant Riemannian space. An example of geodesic mapping of an equidistant generalized Riemannian spaces is presented. |
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Keywords: | Geodesic mapping Generalized Riemannian space Riemannian space Equidistant space |
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