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 the non-Riemannian quantity H of an (α,β)-metric
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Finsler space, (α,β)-Metrics, Non-Riemannian quantities, H-curvature
سال
2012
مجله DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
پژوهشگران مسیب زهره وند

چکیده

In this article, first we compute H-curvature of (α,β)-metrics, when β is a closed 1-form. Next, we apply this formula to discuss some special (α,β)-metrics and we obtain necessary and sufficient conditions for these metrics to have almost vanishing H-curvature. Moreover we characterize Einstein square metric F = (α+β)^2/α , when β is a closed 1-form and in this case it is proven that it has vanishing H-curvature.