The affine approach to homogeneous geodesics in homogeneous Finsler spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F18%3A00001551" target="_blank" >RIV/75081431:_____/18:00001551 - isvavai.cz</a>

Result on the web

<a href="https://dml.cz/handle/10338.dmlcz/147503" target="_blank" >https://dml.cz/handle/10338.dmlcz/147503</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5817/AM2018-5-257" target="_blank" >10.5817/AM2018-5-257</a>

Result language

angličtina

Original language name

The affine approach to homogeneous geodesics in homogeneous Finsler spaces

Original language description

"In a recent paper it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. However, the proof contains a serious gap. The situation is a bit delicate, because the statement is correct. In the present paper, the incorrect part in this proof is indicated. Further, it is shown that homogeneous geodesics in homogeneous Finsler spaces can be studied by another method developed in earlier works by the author for homogeneous affine manifolds. This method is adapted for Finsler geometry and the statement is proved correctly."

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

—

Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2018

Confidentiality

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

Name of the periodical

Archivum Mathematicum

ISSN

0044-8753

e-ISSN

—

Volume of the periodical

54

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

7

Pages from-to

257-263

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85060073637