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BEREZOVSKI, V. CHEREVKO, Y. HINTERLEITNER, I. PEŠKA, P.
Original Title
Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces
Type
journal article in Web of Science
Language
English
Original Abstract
In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, andm- (Ricci-) symmetric spaces. These spaces play an important role in the General Theory of Relativity. The main results we obtained were generalized to a case of geodesic mappings of spaces with an affine connection onto (Ricci-) symmetric spaces. The main equations of the mappings were obtained as closed mixed systems of PDEs of the Cauchy type in covariant form. For the systems, we have found the maximum number of essential parameters which the solutions depend on. Anym- (Ricci-) symmetric spaces (m >= 1) are geodesically mapped onto many spaces with an affine connection. We can call these spacesprojectivelly m- (Ricci-) symmetric spacesand for them there exist above-mentioned nontrivial solutions.
Keywords
geodesic mapping; space with an affine connection; m-symmetric space; m-Ricci-symmetric space
Authors
BEREZOVSKI, V.; CHEREVKO, Y.; HINTERLEITNER, I.; PEŠKA, P.
Released
1. 9. 2020
Publisher
MDPI
Location
Basel
ISBN
2227-7390
Periodical
Mathematics
Year of study
8
Number
9
State
Swiss Confederation
Pages from
1
Pages to
13
Pages count
URL
https://www.mdpi.com/2227-7390/8/9/1560
Full text in the Digital Library
http://hdl.handle.net/11012/195701
BibTex
@article{BUT166070, author="Vladimir {Berezovski} and Yevhen {Cherevko} and Irena {Hinterleitner} and Patrik {Peška}", title="Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces", journal="Mathematics", year="2020", volume="8", number="9", pages="1--13", doi="10.3390/math8091560", issn="2227-7390", url="https://www.mdpi.com/2227-7390/8/9/1560" }