Homogeneous Geodesics of Left Invariant Randers Metrics on a Three-Dimensional Lie Group
نویسندگان
چکیده
In this paper we study homogeneous geodesics in a three-dimensional connected Lie group G equipped with a left invariant Randers metric and investigates the set of all homogeneous geodesics. We show that there is a three-dimensional unimodular Lie group with a left invariant non-Berwaldian Randers metric which admits exactly one homogeneous geodesic through the identity element. Mathematics Subject Classification: 53C60; 53C30
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