Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492120210201On GDW-Randers metrics on tangent Lie groups2736416010.22060/ajmc.2020.18572.1038ENMonaAtashafrouzDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranBehzadNajafiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranAkbarTayebiDepartment of Mathematics, Faculty of Science, University of Qom, Qom, IranJournal Article20200610Let $G$ be a Lie group equipped with a left-invariant Randers metric $F$. Suppose that $F^v$ and $F^c$ denote the vertical and complete lift of $F$ on $TG$, respectively. We give the necessary and sufficient conditions under which $F^v$ and $F^c$ are generalized Douglas-Weyl metrics. Then, we characterize all 2-step nilpotent Lie groups $G$ such that their tangent Lie groups $(TG, F^c)$ are generalized Douglas-Weyl Randers metrics.https://ajmc.aut.ac.ir/article_4160_956c90c7e6b5d90144f3ba09c4fc52e1.pdf