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IFPHP transformations on the tangent bundle with the deformed complete lift metric | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 2، شماره 2، اسفند 2021، صفحه 103-113 اصل مقاله (93.13 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2021.9516.1050 | ||
| نویسنده | ||
| Mosayeb Zohrehvand* | ||
| Department of Mathematical Science and Statistics, Malayer University, Malayer, Iran. m.zohrehvand@malayeru.ac.ir | ||
| چکیده | ||
| Let (Mn,g) be a Riemannian manifold and TM its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving paraholomorphically projective (IFPHP) transformations on TMwith respect to the Levi-Civita connection the deformed complete lift metric G=gC+(fg)V, where f is a nonzero differentiable function on Mn and gC and gV are the complete lift and the vertical lift of g on TM, respectively. Also, the infinitesimal complete lift, horizontal lift and vertical lift paraholomorphically projective transformations on (TM,Gf) are studied. | ||
| کلیدواژه‌ها | ||
| complete lift metric؛ infinitesimal fiber-preserving transformation؛ infinitesimal paraholomorphically projective transformations؛ adapted almost paracomplex structure | ||
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آمار تعداد مشاهده مقاله: 194 تعداد دریافت فایل اصل مقاله: 96 |
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