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 OF A RIEMANNIAN MANIFOLD WITH A CLASS OF PSEUDO-RIEMANNIAN METRICS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
lift metrics, infinitesimal fiber-preserving transformation, infinitesimal holomorphically projective transformations, adapted almost complex structure
سال
2020
مجله COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
پژوهشگران مسیب زهره وند

چکیده

Let (Mn; g) be a Riemannian manifold and TMn 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 a class of psuedo-Riemannian metrics which is a generalization of the three classical lift metrics. Moreover, we prove that every IFHP transformation on (TMn; ~g) is reduced to an affine transformation and induced two infinitesimal affine transformations on (Mn; g).