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Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds

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In the present paper we investigate geodesic mappings of manifolds with affine connection onto Ricci symmetric manifolds which are characterized by the covariantly constant Ricci tensor. We obtained a fundamental… Click to show full abstract

In the present paper we investigate geodesic mappings of manifolds with affine connection onto Ricci symmetric manifolds which are characterized by the covariantly constant Ricci tensor. We obtained a fundamental system for this problem in a form of a system of Cauchy type equations in covariant derivatives depending on no more than n(n+1) real parameters. Analogous results are obtained for geodesic mappings of manifolds with afine connection onto symmetric manifolds.

Keywords: connection onto; ricci; geodesic mappings; mappings manifolds; symmetric manifolds

Journal Title: Filomat
Year Published: 2018

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