Geodesic mappings of spaces with affine connections onto generalized symmetric and Ricci-symmetric spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73604195" target="_blank" >RIV/61989592:15310/20:73604195 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26110/20:PU137842

Result on the web

<a href="https://www.mdpi.com/2227-7390/8/9/1560/htm" target="_blank" >https://www.mdpi.com/2227-7390/8/9/1560/htm</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math8091560" target="_blank" >10.3390/math8091560</a>

Result language

angličtina

Original language name

Geodesic mappings of spaces with affine connections onto generalized symmetric and Ricci-symmetric spaces

Original language description

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 &gt;= 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.

Czech name

—

Czech description

—

Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/LO1408" target="_blank" >LO1408: AdMaS UP – Advanced Building Materials, Structures and Technologies</a><br>

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

—

Volume of the periodical

8

Issue of the periodical within the volume

9

Country of publishing house

CH - SWITZERLAND

Number of pages

13

Pages from-to

"1560-1"-"1560-13"

UT code for WoS article

000580235200001

EID of the result in the Scopus database

2-s2.0-85091380515