TY - JOUR
ID - 4160
TI - On GDW-Randers metrics on tangent Lie groups
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Atashafrouz, Mona
AU - Najafi, Behzad
AU - Tayebi, Akbar
AD - Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
AD - Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
Y1 - 2021
PY - 2021
VL - 2
IS - 1
SP - 27
EP - 36
KW - Left-invariant metric
KW - Douglas metric
KW - Generalized Douglas-Weyl Metrics
KW - Randers Metric
DO - 10.22060/ajmc.2020.18572.1038
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_4160.html
L1 - https://ajmc.aut.ac.ir/article_4160_956c90c7e6b5d90144f3ba09c4fc52e1.pdf
ER -