On Matsumoto metrics of special Ricci tensor، انجام شده توسط مهدی رفیعی راد

مشخصات پژوهش

عنوان	On Matsumoto metrics of special Ricci tensor
نوع پژوهش	JournalPaper
کلیدواژه‌ها	Matsumoto metric; Ricci parallel tensor; Einstein Finsler space
سال	2011
مجله	iranian journal of science and technology, transaction a: science
شناسه DOI
پژوهشگران	Bahman Rezaei ، Mehdi Rafie-Rad

چکیده

In this paper, the Matsumoto metric with special Ricci tensor has been investigated. It is proved that, if F is of positive (negative) sectional curvature and F is of alpha -parallel Ricci curvature with constant killing 1-form, then (M,F) is a Riemannian Einstein space. In fact, we generalize the Riemannian result established by Akbar-Zadeh.