Title of article
On Special Generalized Douglas-Weyl Metrics
Author/Authors
Tayebi, A. university of qom - Faculty of Science - Department of Mathematics, قم, ايران , Peyghan, E. arak university - Faculty of Science - Department of Mathematics, اراك, ايران
From page
179
To page
184
Abstract
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, E(bar) = 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 E(bar) = 0.
Keywords
Douglas space , Landsberg metric , The non , Riemannian quantity H
Journal title
Journal of Sciences Islamic Republic of Iran
Journal title
Journal of Sciences Islamic Republic of Iran
Record number
2580013
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