南开大学学报(自然科学版) ›› 2019 ›› Issue (2): 82-.

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四维李群上的不变Randers度量(英文 )

  

  • 出版日期:2019-04-20 发布日期:2019-04-28

  • Online:2019-04-20 Published:2019-04-28

摘要: 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.

关键词: Randers metrics, homogeneous geodesics