%0 Journal Article
%T On GDW-Randers metrics on tangent Lie groups
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Atashafrouz, Mona
%A Najafi, Behzad
%A Tayebi, Akbar
%D 2021
%\ 02/01/2021
%V 2
%N 1
%P 27-36
%! On GDW-Randers metrics on tangent Lie groups
%K Left-invariant metric
%K Douglas metric
%K Generalized Douglas-Weyl Metrics
%K Randers Metric
%R 10.22060/ajmc.2020.18572.1038
%X 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.
%U https://ajmc.aut.ac.ir/article_4160_956c90c7e6b5d90144f3ba09c4fc52e1.pdf