Geodesic mappings of V-n(K)-spaces and concircular vector fields

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Geodesic mappings of V-n(K)-spaces and concircular vector fields
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Geodesic mappings of V-n(K)-spaces and concircular vector fields
Popis výsledku anglicky
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.

Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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