On Special Generalized Douglas-Weyl Metrics

	On Special Generalized Douglas-Weyl Metrics
Journal of Sciences, Islamic Republic of Iran
مقاله 9، دوره 23، شماره 2، شهریور 2012، صفحه 179-184 اصل مقاله (317.74 K)
نویسنده
E. Peyghan
2Department of Mathematics, Faculty of Science, Arak University,
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.
کلیدواژه‌ها
Douglas space؛ The non-Riemannian quantity H؛ Landsberg metric
عنوان مقاله [English]
On Special Generalized Douglas-Weyl Metrics
نویسندگان [English]
E. Peyghan

چکیده [English]
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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