Publication detail

Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces

BEREZOVSKI, V. CHEREVKO, Y. MIKEŠ, J. RÝPAROVÁ, L.

Original Title

Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces

Type

journal article in Web of Science

Language

English

Original Abstract

In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces. In either case the main equations for the mappings are obtained as a closed system of linear differential equations of Cauchy type in the covariant derivatives. The obtained results extend an amount of research produced by N.S. Sinyukov, V.E. Berezovski, J. Mikes.

Keywords

canonical almost geodesic mappings; Cauchy-type PDEs; space with affine connection; Ricci symmetric space

Authors

BEREZOVSKI, V.; CHEREVKO, Y.; MIKEŠ, J.; RÝPAROVÁ, L.

Released

22. 3. 2021

Publisher

MDPI

Location

BASEL

ISBN

2227-7390

Periodical

Mathematics

Year of study

9

Number

4

State

Swiss Confederation

Pages from

1

Pages to

12

Pages count

12

URL

https://www.mdpi.com/2227-7390/9/4/437

Full text in the Digital Library

http://hdl.handle.net/11012/204088

BibTex

@article{BUT175950,
  author="Vladimir {Berezovski} and Yevhen {Cherevko} and Josef {Mikeš} and Lenka {Vítková}",
  title="Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces",
  journal="Mathematics",
  year="2021",
  volume="9",
  number="4",
  pages="1--12",
  doi="10.3390/math9040437",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/9/4/437"
}