Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Líceum University Press
Abstract
In the present paper the authors give some conditions preserved Riemannian
curvature tensor with respect to almost geodesic mappings of affinely
connected spaces. It is noteworthy that these conditions are valid for other
types of mappings. For the almost geodesic mappings of first type, when the
Riemannian curvature tensor is invariant, the authors deduce a differential
equations system of Cauchy type.
In addition the authors investigate almost geodesic mappings of first type,
where the Weyl tensor of projective curvature is invariant and Riemannian
tensor is not invariant.
Description
Keywords
almost geodesic mapping, Riemannian curvature tensor
Citation
Vladimir Berezovski, Sándor Bácsó, Josef Mikeš. Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature. Annales Mathematicae et Informaticae, 45 (2015), pp. 3-10