Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
No Thumbnail Available
Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Miskolc University Press
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.
Description
Keywords
preserving, Riemannian tensor, Ricci tensor, manifold with affine connection
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