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Ebrahimi, Mahnaz. (1399). Invariant vector field on a homogeneous Finsler space with special (α,β)-metric. سامانه مدیریت نشریات علمی, 1(2), 1-14. doi: 10.22098/jfga.2020.1235
Mahnaz Ebrahimi. "Invariant vector field on a homogeneous Finsler space with special (α,β)-metric". سامانه مدیریت نشریات علمی, 1, 2, 1399, 1-14. doi: 10.22098/jfga.2020.1235
Ebrahimi, Mahnaz. (1399). 'Invariant vector field on a homogeneous Finsler space with special (α,β)-metric', سامانه مدیریت نشریات علمی, 1(2), pp. 1-14. doi: 10.22098/jfga.2020.1235
Ebrahimi, Mahnaz. Invariant vector field on a homogeneous Finsler space with special (α,β)-metric. سامانه مدیریت نشریات علمی, 1399; 1(2): 1-14. doi: 10.22098/jfga.2020.1235

Invariant vector field on a homogeneous Finsler space with special (α,β)-metric

Journal of Finsler Geometry and its Applications
مقاله 1، دوره 1، شماره 2، اسفند 2020، صفحه 1-14    اصل مقاله (103.23 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1235
نویسنده
Mahnaz Ebrahimi*
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran E-mail: m.ebrahimi@uma.ac.ir
چکیده
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.
کلیدواژه‌ها
Homogeneous Finsler space؛ L-metric؛ invariant vector fi eld؛ hypercomplex man- ifold؛ Geodesic vector
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