Existence of homogeneous geodesics on homogeneous Randers spaces

Yan Zaili; Deng Shaoqiang

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Existence of homogeneous geodesics on homogeneous Randers spaces

Yan Zaili 1, Deng Shaoqiang 2 *

1. School of Mathematical Sciences, Nankai University, Tianjin 300071

2. School of Mathematical Sciences, Nankai University, Tianjin 300071

*Correspondence author

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Funding: none

Opened online:30 December 2013

Accepted by: none

Citation: Yan Zaili, Deng Shaoqiang.Existence of homogeneous geodesics on homogeneous Randers spaces[OL]. [30 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4577145

A geodesic of a Finsler space $(M, F)$ is called homogeneous if it is the orbit of a one-parameter transformation group of isometries of $(M, F)$. In this paper we show that every homogeneous Randers space admits at least a homogeneous geodesic through any point.

Keywords: Homogeneous Randers spaces; Homogeneous geodesics; Geodesic vectors.

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