Let $G$ be a Lie group equipped with a left invariant Randers metric ofBerward type $F$, with underlying left invariant Riemannian metric $g$. Supposethat $\widetilde{F}$ and $\widetilde{g}$ are lifted Randers and Riemannianmetrics arising from $F$ and $g$ on the tangent Lie group $TG$ by vertical andcomplete lifts. In this article we study the relations between the flagcurvature of the Randers manifold $(TG,\widetilde{F})$ and the sectionalcurvature of the Riemannian manifold $(G,g)$ when $\widetilde{F}$ is of Berwaldtype. Then we give all simply connected $3$-dimentional Lie groups such thattheir tangent bundles admit Randers metrics of Berwarld type and theirgeodesics vectors.
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机译：假设$ G $是一个配备了Berward类型$ F $的左不变Randers度量和底层左不变黎曼度量$ g $的Lie组。假设将$ \ widetilde {F} $和$ \ widetilde {g} $提升为切线李群$ TG $上的$ F $和$ g $引起的Randers和Riemannianmetrics的垂直和完全提升。在本文中，我们研究了当$ \ widetilde {F} $为Berwaldtype时，Randers流形$（TG，\ widetilde {F}）$的标志曲率与黎曼流形$（G，g）$的截面曲率之间的关系。 。然后我们给所有简单连接的$ 3 $维Lie群，使它们的切线束接受Berwarld类型的Randers度量及其大地测量向量。
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