University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Some properties of Sasaki metric on tangent bundle of Finsler manifold2342136610.22098/jfga.2021.1366ENZohre RaeiDepartment of Mathematics,
University of Mohaghegh Ardabili,
Ardabil, Iran. raei.zohre@gmail.comJournal Article20210814Let (M,F) be a Finsler manifold and G be the Sasaki-Finsler metric on TM<sup>∼</sup>. In this paper, we investigate some properties of Sasaki-Finsler metric which is pure with respect to some paracomplex structures on TM<sup>∼</sup>. 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.https://jfga.uma.ac.ir/article_1366_cc9cbc090b962626fefa12e857fc922c.pdf