Homogeneous Randers spaces admitting just two homogeneous geodesics

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/am2019-5-281

Z. Dušek

引用次数: 2

Abstract

The existence of a homogeneous geodesic in homogeneous Finsler manifolds was investigated and positively answered in previous papers. It is conjectured that this result can be improved, namely that any homogeneous Finsler manifold admits at least two homogenous geodesics. Examples of homogeneous Randers manifolds admitting just two homogeneous geodesics are presented.

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齐次兰德空间只允许两个齐次测地线

齐次Finsler流形中齐次测地线的存在性在以往的文章中得到了肯定的回答。我们推测这一结果可以改进，即任何齐次芬斯勒流形都至少允许两个齐次测地线。给出了只允许两个齐次测地线的齐次兰德流形的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.