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
On a class of conformally flat (alpha,beta )-metrics with special curvature properties
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Conformally flat metric, exponential (alpha,beta )-metric, Xi- curvature, mean Landsberg curvature
سال
2023
مجله Journal of Finsler Geometry and its Applications
پژوهشگران مسیب زهره وند

چکیده

This paper is devoted to study of a class of conformally flat (alpha,beta)-metrics that have of the form F=exp(2s)/s; where s:=beta/alpha. They are called Kropina change of exponential (alpha,beta )-metrics. We prove that if F has relatively isotropic mean Landsberg curvature or almost vanishing Xi-curvature then it is a Riemannian metric or a locally Minkowski metric. Also, we prove that, if F be a weak Einstein metric, then it is either a Riemannian metric or a locally Minkowski metric.