Geodesic
On geodesic mappings preserving the Einstein tensor
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 49-52.

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In this paper there are discussed the geodesic mappings which preserved the Einstein tensor. We proved that the tensor of concircular curvature is invariant under Einstein tensor-preserving geodesic mappings.
Classification : 53B20, 53B30
Keywords: Geodesic mapping; Einstein tensor 
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Chepurna, Olena E.; Kiosak, Volodymyr A.; Mikeš, Josef. On geodesic mappings preserving the Einstein tensor. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 49-52. http://geodesic.mathdoc.fr/item/AUPO_2010__49_2_a3/