@article { author = {Atashafrouz, Mona and Najafi, Behzad and Tayebi, Akbar}, title = {On GDW-Randers metrics on tangent Lie groups}, journal = {AUT Journal of Mathematics and Computing}, volume = {2}, number = {1}, pages = {27-36}, year = {2021}, publisher = {Amirkabir University of Technology}, issn = {2783-2449}, eissn = {2783-2287}, doi = {10.22060/ajmc.2020.18572.1038}, abstract = {Let $G$ 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.}, keywords = {Left-invariant metric,Douglas metric,Generalized Douglas-Weyl Metrics,Randers Metric}, url = {https://ajmc.aut.ac.ir/article_4160.html}, eprint = {https://ajmc.aut.ac.ir/article_4160_a7fc31b063685455f8fddb080aaffa75.pdf} }