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.
Raei, Z. (2021). Some properties of Sasaki metric on tangent bundle of Finsler manifold. Journal of Finsler Geometry and its Applications, 2(2), 23-42. doi: 10.22098/jfga.2021.1366
MLA
Zohre Raei. "Some properties of Sasaki metric on tangent bundle of Finsler manifold". Journal of Finsler Geometry and its Applications, 2, 2, 2021, 23-42. doi: 10.22098/jfga.2021.1366
HARVARD
Raei, Z. (2021). 'Some properties of Sasaki metric on tangent bundle of Finsler manifold', Journal of Finsler Geometry and its Applications, 2(2), pp. 23-42. doi: 10.22098/jfga.2021.1366
VANCOUVER
Raei, Z. Some properties of Sasaki metric on tangent bundle of Finsler manifold. Journal of Finsler Geometry and its Applications, 2021; 2(2): 23-42. doi: 10.22098/jfga.2021.1366
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