@article {
author = {Ebrahimi, Mahnaz},
title = {Invariant vector field on a homogeneous Finsler space with special (α,β)-metric},
journal = {Journal of Finsler Geometry and its Applications},
volume = {1},
number = {2},
pages = {1-14},
year = {2020},
publisher = {University of Mohaghegh Ardabili},
issn = {2783-0500},
eissn = {2783-0500},
doi = {10.22098/jfga.2020.1235},
abstract = {In a Finsler spaces, we consider a special (α,β)-metric L satisfying L2(α,β) =c1 α 2 +2c2 αβ+c3β2, where ci are constant. In this paper, the existence of invariant vectorelds on a special homogeneous (α,β)-space with L metric is proved. Then we study geodesicvectors and investigate the set of all homogeneous geodesics of invariant (α,β)-metric L onhomogeneous spaces and simply connected 4-dimensional real Lie groups admitting invarianthypercomplex structure.},
keywords = {Homogeneous Finsler space,L-metric,invariant vector field,hypercomplex man- ifold,Geodesic vector},
url = {https://jfga.uma.ac.ir/article_1235.html},
eprint = {https://jfga.uma.ac.ir/article_1235_9d2d00e444a73400bb44984776920e33.pdf}
}