Publication detail

Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces

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

13

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"
}