MMN-1978
Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
V. E. Berezovski; S. Bácsó; J. Mikes;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.
Vol. 18 (2017), No. 1, pp. 117-124
DOI: 10.18514/MMN.2017.1978