@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_956c90c7e6b5d90144f3ba09c4fc52e1.pdf}
}