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Raei, Zohre. (1400). Some properties of Sasaki metric on tangent bundle of Finsler manifold. سامانه مدیریت نشریات علمی, 2(2), 23-42. doi: 10.22098/jfga.2021.1366
Zohre Raei. "Some properties of Sasaki metric on tangent bundle of Finsler manifold". سامانه مدیریت نشریات علمی, 2, 2, 1400, 23-42. doi: 10.22098/jfga.2021.1366
Raei, Zohre. (1400). 'Some properties of Sasaki metric on tangent bundle of Finsler manifold', سامانه مدیریت نشریات علمی, 2(2), pp. 23-42. doi: 10.22098/jfga.2021.1366
Raei, Zohre. Some properties of Sasaki metric on tangent bundle of Finsler manifold. سامانه مدیریت نشریات علمی, 1400; 2(2): 23-42. doi: 10.22098/jfga.2021.1366

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
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