Geodesic mappings of V-n(K)-spaces and concircular vector fields
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597052" target="_blank" >RIV/61989592:15310/19:73597052 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/7/8/692/htm" target="_blank" >https://www.mdpi.com/2227-7390/7/8/692/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math7080692" target="_blank" >10.3390/math7080692</a>
Alternative languages
Result language
angličtina
Original language name
Geodesic mappings of V-n(K)-spaces and concircular vector fields
Original language description
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called Vn(K)-spaces. We prove that the set of solutions of the system of equations of geodesic mappings on Vn(K)-spaces forms a special Jordan algebra and the set of solutions generated by concircular fields is an ideal of this algebra. We show that pseudo-Riemannian manifolds admitting a concircular field of the basic type form the class of manifolds closed with respect to the geodesic mappings.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
8
Country of publishing house
CH - SWITZERLAND
Number of pages
11
Pages from-to
"692-1"-"692-11"
UT code for WoS article
000482856500083
EID of the result in the Scopus database
2-s2.0-85070471444