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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 field؛ hypercomplex man- ifold؛ Geodesic vector | ||
آمار تعداد مشاهده مقاله: 164 تعداد دریافت فایل اصل مقاله: 225 |