On the concircular vector fields of spaces with affine connection

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583380" target="_blank" >RIV/61989592:15310/17:73583380 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.emis.de/journals/AMAPN/vol33_1/33_07.pdf" target="_blank" >https://www.emis.de/journals/AMAPN/vol33_1/33_07.pdf</a>
DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
On the concircular vector fields of spaces with affine connection
Popis výsledku v původním jazyce
In this paper we study concircular vector fields of spaces with affine connection. We found the fundamental equation of these fields for the minimal requirements on the differentiability of the connection. The maximal numbers of linearly independent fields (with constant coefficients) is equal to n+1 and is realized only on projective at spaces. Further we found a criterion on the Weyl tensor of the projective curvature of spaces, in which exist exactly n-1 independent concircular vector fields.
Název v anglickém jazyce
On the concircular vector fields of spaces with affine connection
Popis výsledku anglicky
In this paper we study concircular vector fields of spaces with affine connection. We found the fundamental equation of these fields for the minimal requirements on the differentiability of the connection. The maximal numbers of linearly independent fields (with constant coefficients) is equal to n+1 and is realized only on projective at spaces. Further we found a criterion on the Weyl tensor of the projective curvature of spaces, in which exist exactly n-1 independent concircular vector fields.

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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