On the H-curvature of Einstein (alpha,beta)-metrics، انجام شده توسط مسیب زهره وند

مشخصات پژوهش

عنوان	On the H-curvature of Einstein (alpha,beta)-metrics
نوع پژوهش	Presentation
کلیدواژه‌ها	alpha,beta)-metric, Einstein metric, Douglas metric, H-curvature)
سال	2014
پژوهشگران	Mosayeb Zohrehvand

چکیده

In this article, we study a rich class of Finsler metrics which are defined by a Riemannian metric a and a 1-form b on a C¥ manifold. They are called (a;b )-metrics. We consider the non-Riemannian quantity H of a class of Einstein (a;b )-metrics that is called Ricci-flat (a;b )-metrics. We prove that every Ricci-flat Douglas (a;b )-metric has the vanishing H-curvature.