Canonical F-Planar Mappings of Spaces with Affine Connection onto m-Symmetric Spaces-Reference-Cited by-同舟云学术

Canonical F-Planar Mappings of Spaces with Affine Connection onto m-Symmetric Spaces

Published:2023-03-04 Issue:5 Volume:11 Page:1246
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Berezovski Volodymyr¹^ORCID,Rýparová Lenka²³^ORCID,Cherevko Yevhen⁴^ORCID

Affiliation:

1. Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine

2. Department of Algebra and Geometry, Faculty of Science, Palacky University in Olomouc, 771 46 Olomouc, Czech Republic

3. Institute of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic

4. Department of Physical and Mathematical Sciences, Odesa National University of Technology, Kanatnaya 112, 65039 Odesa, Ukraine

Abstract

In this paper, we consider canonical F-planar mappings of spaces with affine connection onto m-symmetric spaces. We obtained the fundamental equations of these mappings in the form of a closed system of Chauchy-type equations in covariant derivatives. Furthermore, we established the number of essential parameters on which its general solution depends.

Funder

Palacký University, Olomouc

Brno University of Technology

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1246/pdf

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