Displaying similar documents to “On geodesic mappings of general affine connexion spaces and of generalized Riemannian spaces.”

On geodesic mappings preserving the Einstein tensor

Olena E. Chepurna, Volodymyr A. Kiosak, Josef Mikeš (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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.

Geodesic mapping onto Kählerian spaces of the first kind

Milan Zlatanović, Irena Hinterleitner, Marija Najdanović (2014)

Czechoslovak Mathematical Journal

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In the present paper a generalized Kählerian space 𝔾 𝕂 1 N of the first kind is considered as a generalized Riemannian space 𝔾ℝ N with almost complex structure F i h that is covariantly constant with respect to the first kind of covariant derivative. Using a non-symmetric metric tensor we find necessary and sufficient conditions for geodesic mappings f : 𝔾ℝ N → 𝔾 𝕂 ¯ 1 N with respect to the four kinds of covariant derivatives. These conditions have the form of a closed system of partial differential equations in covariant...