The existence of two homogeneous geodesics in Finsler geometry

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F19%3A00001711" target="_blank" >RIV/75081431:_____/19:00001711 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.mdpi.com/2073-8994/11/7/850" target="_blank" >https://www.mdpi.com/2073-8994/11/7/850</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym11070850" target="_blank" >10.3390/sym11070850</a>

Jazyk výsledku
angličtina
Název v původním jazyce
The existence of two homogeneous geodesics in Finsler geometry
Popis výsledku v původním jazyce
The existence of a homogeneous geodesic in homogeneous Finsler manifolds was positively answered in previous papers. However, the result is not optimal. In the present paper, this result is refined and the existence of at least two homogeneous geodesics in any homogeneous Finsler manifold is proved. In a previous paper, examples of Randers metrics which admit just two homogeneous geodesics were constructed, which shows that the present result is the best possible.
Název v anglickém jazyce
The existence of two homogeneous geodesics in Finsler geometry
Popis výsledku anglicky
The existence of a homogeneous geodesic in homogeneous Finsler manifolds was positively answered in previous papers. However, the result is not optimal. In the present paper, this result is refined and the existence of at least two homogeneous geodesics in any homogeneous Finsler manifold is proved. In a previous paper, examples of Randers metrics which admit just two homogeneous geodesics were constructed, which shows that the present result is the best possible.

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

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