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 vector elds on a special homogeneous (α,β)-space with L metric is proved. Then we study geodesic vectors and investigate the set of all homogeneous geodesics of invariant (α,β)-metric L on homogeneous spaces and simply connected 4-dimensional real Lie groups admitting invariant hypercomplex structure.
Ebrahimi, M. (2020). Invariant vector field on a homogeneous Finsler space with special (α,β)-metric. Journal of Finsler Geometry and its Applications, 1(2), 1-14. doi: 10.22098/jfga.2020.1235
MLA
Mahnaz Ebrahimi. "Invariant vector field on a homogeneous Finsler space with special (α,β)-metric". Journal of Finsler Geometry and its Applications, 1, 2, 2020, 1-14. doi: 10.22098/jfga.2020.1235
HARVARD
Ebrahimi, M. (2020). 'Invariant vector field on a homogeneous Finsler space with special (α,β)-metric', Journal of Finsler Geometry and its Applications, 1(2), pp. 1-14. doi: 10.22098/jfga.2020.1235
VANCOUVER
Ebrahimi, M. Invariant vector field on a homogeneous Finsler space with special (α,β)-metric. Journal of Finsler Geometry and its Applications, 2020; 1(2): 1-14. doi: 10.22098/jfga.2020.1235
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