The minimal number of homogeneous geodesics depending on the signature of the Killing form

Kód výsledku v IS VaVaI

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Výsledek na webu

<a href="https://www-scopus-com.ezproxy.techlib.cz/record/display.uri?eid=2-s2.0-85188251766&origin=resultslist&sort=plf-f&src=s&sid=ba8927a39ffb92602903980cb15331d2&sot=b&sdt=b&s=TITLE-ABS-KEY%28The+minimal+number+of+homogeneous+geodesics+depending+on+the+signat" target="_blank" >https://www-scopus-com.ezproxy.techlib.cz/record/display.uri?eid=2-s2.0-85188251766&origin=resultslist&sort=plf-f&src=s&sid=ba8927a39ffb92602903980cb15331d2&sot=b&sdt=b&s=TITLE-ABS-KEY%28The+minimal+number+of+homogeneous+geodesics+depending+on+the+signat</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

The minimal number of homogeneous geodesics depending on the signature of the Killing form

Popis výsledku v původním jazyce

The existence of at least two homogeneous geodesics in any homogeneous Finsler manifold was proved in a previous paper by the author. The examples of solvable Lie groups with invariant Finsler metric which admit just two homogeneous geodesics were presented in another paper. In the present work, it is shown that a homogeneous Finsler manifold with indefinite Killing form admits at least four homogeneous geodesics. Examples of invariant Randers metrics on Lie groups with definite Killing form admitting just two homogeneous geodesics and examples with indefinite Killing form admitting just four homogeneous geodesics are presented.

Název v anglickém jazyce

The minimal number of homogeneous geodesics depending on the signature of the Killing form

Popis výsledku anglicky

The existence of at least two homogeneous geodesics in any homogeneous Finsler manifold was proved in a previous paper by the author. The examples of solvable Lie groups with invariant Finsler metric which admit just two homogeneous geodesics were presented in another paper. In the present work, it is shown that a homogeneous Finsler manifold with indefinite Killing form admits at least four homogeneous geodesics. Examples of invariant Randers metrics on Lie groups with definite Killing form admitting just two homogeneous geodesics and examples with indefinite Killing form admitting just four homogeneous geodesics are presented.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Revista de la Union Matematica Argentina

ISSN

0041-6932

e-ISSN

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Svazek periodika

65/2023

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

AR - Argentinská republika

Počet stran výsledku

14

Strana od-do

361-374

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-85188251766