Geodesic orbit Finsler (α, β) metrics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F23%3A00002556" target="_blank" >RIV/75081431:_____/23:00002556 - isvavai.cz</a>

Result on the web

<a href="https://link-springer-com.ezproxy.techlib.cz/article/10.1007/s40879-023-00609-0" target="_blank" >https://link-springer-com.ezproxy.techlib.cz/article/10.1007/s40879-023-00609-0</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Geodesic orbit Finsler (α, β) metrics

Original language description

Geodesic lemma for homogenenous Finsler (α, β) metrics is formulated in terms of the underlying Riemannian metric α and the one-form β. The existence of a particular reductive decomposition is described for easy construction of Finslerian geodesic graph, in a suitable group extension. As a consequence, it is proved that for the underlying geodesic orbit Riemannian metric α, all Finsler (α, β) metrics are also geodesic orbit metrics. An alternative construction of Finslerian geodesic graph for naturally reductive underlying Riemannian metric α is also described.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Journal of Mathematics

ISSN

2199-675X

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

1

Country of publishing house

CH - SWITZERLAND

Number of pages

11

Pages from-to

1-11

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85148451577