on special generalized douglas-weyl metrics
نویسندگان
چکیده
in this paper, we study a special class of generalized douglas-weyl metrics whose douglas curvature is constant along any finslerian geodesic. we prove that for every landsberg metric in this class of finsler metrics, ? = 0 if and only if h = 0. then we show that every finsler metric of non-zero isotropic flag curvature in this class of metrics is a riemannian if and only if ? = 0.
منابع مشابه
On Special Generalized Douglas-Weyl Metrics
In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0.
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عنوان ژورنال:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 23
شماره 2 2012
کلمات کلیدی
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