【摘要】 主要讨论了四维李群上的不变Randers度量.得到了四维Berwald型Randers度量的幂零李群是二步幂零的,证明了存在四维幂零李群上拥有无穷多条过原点的齐性测地线.更多还原

【Abstract】 The invariant Randers metrics on four dimensional Lie groups is studied. On the one hand,four dimensional nilpotent Lie groups with Randers metrics of Berwald type are two step nilpotent. And then prove that there exist invariant Randers metrics on four dimensional nilpotent Lie groups, which admit infinitely many homogeneous geodesics through the identity element.更多还原