Title of article :
On GDW-Randers metrics on tangent Lie groups
Author/Authors :
Atashafrouz, Mona Department of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran , Naja, Behzad Department of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran , Tayebi, Akbar Department of Mathematics - Faculty of Science - University of Qom, Qom, Iran
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 T G, 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 (T G, Fc ) are generalized Douglas-Weyl Randers metrics.
Keywords :
Left-invariant metric , Douglas metric , Generalized Douglas-Weyl Metrics , Randers metric
Journal title :
AUT Journal of Mathematics and Computing
