Geodesic and almost geodesic mappings onto Ricci symmetric spaces
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
University of Defence, Brno, Czech Republic
Abstract
This paper is devoted to study of geodesic and almost geodesic mappings of special spaces with affine connection. In the first section, we mention the basic definition of geodesic and almost geodesic mappings. The next section is devoted to geodesic mappings onto Ricci symmetric manifolds and its fundamental diferential equation in Cauchy type form in covariant derivatives. We also study almost geodesic mappings of the first type onto symmetric space.
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Keywords
geodesic mapping, almost geodesic mapping, spaces with affine connection, (pseudo-) Riemannian space
Citation
Berezovskii V., Peska P. and Mikes J. Geodesic and almost geodesic mappings onto Ricci symmetric spaces // Mathematics, Information Technologies and Applied Sciences 2017. Post-conference proceedings. – University of Defence, Brno, Czech Republic, 2017. – P. 43-49