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Some properties of Sasaki metric on tangent bundle of Finsler manifold | ||
Journal of Finsler Geometry and its Applications | ||
دوره 2، شماره 2، اسفند 2021، صفحه 23-42 اصل مقاله (123.66 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1366 | ||
نویسنده | ||
Zohre Raei* | ||
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran. raei.zohre@gmail.com | ||
چکیده | ||
Let (M,F) be a Finsler manifold and G be the Sasaki-Finsler metric on TM∼. In this paper, we investigate some properties of Sasaki-Finsler metric which is pure with respect to some paracomplex structures on TM∼. Also, we show that the curvature tensor field of the Levi-Civita connection on (TM,G) is recurrent or pseudo symmetric if and only if (M,F) is locally Eulidean or locally Minkowski space. | ||
کلیدواژهها | ||
Finsler manifold؛ almost paracomplex structure؛ paraholomorphic tensor field؛ pseudo symmetry؛ recurrence | ||
آمار تعداد مشاهده مقاله: 155 تعداد دریافت فایل اصل مقاله: 136 |