Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics
The result's identifiers
Result code in 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>
Result on the web
<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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Alternative languages
Result language
angličtina
Original language name
Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Kyungpook Mathematical Journal
ISSN
1225-6951
e-ISSN
0454-8124
Volume of the periodical
65
Issue of the periodical within the volume
2
Country of publishing house
KR - KOREA, REPUBLIC OF
Number of pages
11
Pages from-to
307-317
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-105009750985