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.
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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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