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|Title:||On a class of curvature preserving almost geodesic mappings of manifolds with affine connection|
|Authors:||Березовський, Володимир Євгенійович|
Berezovskii, V. E.
|Keywords:||almost geodesic mappings|
invariant geometric object
mani- folds with affine connection
|Publisher:||Fac. of Mechanical Engineering, Slovak University of Technology in Bratislava|
|Citation:||V. Berezovski, J. Mikeš, A. Vanžurová : On a class of curvature preserving almost geodesic mappings of manifolds with affine connection. Aplimat 2011, 10th International Conference, February 1-4, 2011, Fac. of Mechanical Engineering, Slovak University of Technology in Bratislava (2011), 623-628.|
|Abstract:||In this paper we pay attention to a particular case of almost geodesic mappings of the first type between (differentiable) manifolds with affine connection. We use here lassical tensor methods and the apparatus of partial differential equations. We prove that under the mappings under consideration, the invariant geometric object is just the (Riemannian) curvature tensor of the connection. We present the basic equations of the lass of mappings under consideration in an equivalent form of the Cauchy system in covariant derivatives.|
|Appears in Collections:||Наукові матеріали кафедри|
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