31 خرداد 1403
مسيب زهره وند

مسیب زهره وند

مرتبه علمی: استادیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی-هندسه
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Complete lift metric, infinitesimal fiber-preserving transformation, infinitesimal holomorphically projective transformations, adapted almost complex structure.
سال
2022
مجله International Electronic Journal of Geometry
پژوهشگران مسیب زهره وند

چکیده

Let (Mn; g) be a Riemannian manifold and TMn the total space of its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving holomorphically projective (IFHP) transformations on TMn with respect to the Levi-Civita connection of the deformed complete lift metric ~Gf = 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 TMn, respectively. Morevore, we prove that every IFHP transformation on (TMn; ~Gf ) is reduced to an affine and induces an infinitesimal affine transformation on (Mn; g).