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The existence of two homogeneous geodesics in Finsler geometry

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The existence of two homogeneous geodesics in Finsler geometry

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Symmetry

  • ISSN

    2073-8994

  • e-ISSN

    2073-8994

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    5

  • Pages from-to

  • UT code for WoS article

    000481979000015

  • EID of the result in the Scopus database

    2-s2.0-85068540930