Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F25%3A00002928" target="_blank" >RIV/75081431:_____/25:00002928 - isvavai.cz</a>
Výsledek na webu
<a href="https://doi.org/10.5666/KMJ.2025.65.2.307" target="_blank" >https://doi.org/10.5666/KMJ.2025.65.2.307</a>
DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics
Popis výsledku v původním jazyce
Homogeneous geodesics of Finsler metrics derived from two or more Riemannian g.o. metrics are studied. For a broad, newly defined, family of positively related Riemannian g.o. metrics and the derived Finsler metrics, geodesic lemma is proved and it is shown that the new Finsler metrics also have the g.o. property. These derived Finsler metrics belong to the newly defined class of the alpha_i type metrics. The construction and the structure of the geodesic graph for these types of Finsler metrics is illustrated in detailn with the example of the sphere S7.
Název v anglickém jazyce
Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics
Popis výsledku anglicky
Homogeneous geodesics of Finsler metrics derived from two or more Riemannian g.o. metrics are studied. For a broad, newly defined, family of positively related Riemannian g.o. metrics and the derived Finsler metrics, geodesic lemma is proved and it is shown that the new Finsler metrics also have the g.o. property. These derived Finsler metrics belong to the newly defined class of the alpha_i type metrics. The construction and the structure of the geodesic graph for these types of Finsler metrics is illustrated in detailn with the example of the sphere S7.

Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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