Please use this identifier to cite or link to this item: http://lib.udau.edu.ua/handle/123456789/6252
Title: Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
Authors: Березовський, Володимир Євгенійович
Keywords: preserving
Riemannian tensor
Ricci tensor
manifold with affine connection
Issue Date: 2017
Publisher: Miskolc University Press
Citation: Berezovski V. E., Bácsó S., Mikes J. Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors. Miskolc Mathematical Notes. Vol. 18 (2017), No. 1, pp. 117–124
Abstract: In the present paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type. The basic equations of these maps form a closed system of Cauchy type in covariant derivatives. We determine the quantity of essential (substantial) parameters, on which depend the general solution of this problem.
URI: http://lib.udau.edu.ua/handle/123456789/6252
ISSN: 1787-2413
Appears in Collections:Наукові матеріали кафедри

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