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
Projective vector fields on the tangent bundle with the deformed complete lift metrics
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Complete lift metrics, infinitesimal fiber-preserving transformations, infinitesimal projective transformations
سال
2020
مجله Balkan Journal of Geometry and Its Applications
پژوهشگران مسیب زهره وند

چکیده

Let (Mn, g) be a Riemannian manifold and TMn its tangent bundle. In this paper, firstly, we determine the infinitesimal fiber-preserving projective(IFP) transformations on TMn with respect to the Riemannian connection of the deformed complete lift metric G˜f = 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. Then, we prove that (Mn, g) is locally flat, if (TMn, G˜f ) admits a nonaffine infinitesimal fiber-preserving projective transformation. Finally, the infinitesimal complete lift projective transformations on (TMn, G˜f ) are studied.