Results 11 to 20 of about 1,044 (284)
A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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On canonical quasi-geodesic mappings of recurrent-parabolic spaces
Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed.
Ірина Миколаївна Курбатова +1 more
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Geodesic Mappings and Their Generalizations
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Mikeš, Josef +3 more
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On Canonical Almost Geodesic Mappings of Type π2(e)
In the paper, we consider canonical almost geodesic mappings of type π 2 ( e ) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor.
Volodymyr Berezovski +3 more
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Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called V n ( K ) -spaces. We prove that the set of solutions of the system of equations of geodesic mappings on V n ( K ) -spaces forms a ...
Igor G. Shandra, Josef Mikeš
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Geodesic mappings of Einstein spaces [PDF]
summary: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 ...
Kiosak, Volodymyr A. +2 more
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In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ricci-)
Volodymyr Berezovski +3 more
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In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces.
Volodymyr Berezovski +3 more
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On geodesic mappings of threesymmetric spaces
The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings.
Volodymyr Kiosak +2 more
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Geodesic mappings of compact quasi-Einstein spaces, I
The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient dening vector. These spaces are a generalization of well-known Einstein spaces.
Volodymyr Kiosak +2 more
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