Publication detail

Geodesic mappings onto generalized m-Ricci-symmetric spaces

BEREZOVSKI, V. CHEREVKO, Y. HINTERLEITNER, I. PEŠKA, P.

Original Title

Geodesic mappings onto generalized m-Ricci-symmetric spaces

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the Cauchy type in the covariant derivatives. For the systems, we have found the maximum number of essential parameters on which the solutions depend. These results generalize the properties of geodesic mappings onto symmetric, recurrent, and also 2-, 3-, and m-(Ricci-)symmetric spaces with affine connections.

Keywords

geodesic mapping; space with affine connections; m-Ricci-symmetric space; Cauchy-type differential equations

Authors

BEREZOVSKI, V.; CHEREVKO, Y.; HINTERLEITNER, I.; PEŠKA, P.

Released

21. 6. 2022

Publisher

MDPI

Location

Basel

ISBN

2227-7390

Periodical

Mathematics

Year of study

10

Number

13

State

Swiss Confederation

Pages from

1

Pages to

12

Pages count

12

URL

https://www.mdpi.com/2227-7390/10/13/2165/htm

Full text in the Digital Library

http://hdl.handle.net/11012/209257

BibTex

@article{BUT182470,
  author="Vladimir {Berezovski} and Yevhen {Cherevko} and Irena {Hinterleitner} and Patrik {Peška}",
  title="Geodesic mappings onto generalized m-Ricci-symmetric spaces",
  journal="Mathematics",
  year="2022",
  volume="10",
  number="13",
  pages="1--12",
  doi="10.3390/math10132165",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/10/13/2165/htm"
}