مشخصات پژوهش

عنوان	On generalized Douglas-Weyl Randers metrics
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	generalized Douglas-Weyl metric, Randers metric, Kenmotsu manifold, Sasakian manifold
چکیده	We characterize generalized Douglas-Weyl Randers metrics in terms of their Zermelo navigation data. Then, we study the Randers metrics induced by some important classes of almost contact metrics. Furthermore, we construct a family of generalized Douglas-Weyl Randers metrics which are not R-quadratic. We show that the Randers metric induced by a Kenmotsu manifold is a Douglas metric which is not of isotropic S-curvature. We show that the Randers metric induced by a Kenmotsu or Sasakian manifold is not Einsteinian. By using D-homothetic deformation of a Kenmotsu or Sasakian manifold, we construct a family of generalized Douglas-Weyl Randers metrics and show that the Lie group of projective transformations does not act transitively on the set of generalized Douglas-Weyl Randers metrics.
پژوهشگران	مهدی رفیعی راد (نفر سوم)، بهزاد نجفی (نفر دوم)، طیبه سادات طباطبایی فر (نفر اول)