%0 Journal Article
%T On general (alpha,beta)-metrics with vanishing Douglas curvature
%A Hongmei Zhu
%J Mathematics
%D 2015
%I arXiv
%X In this paper, we study a class of Finsler metrics called general $(\alpha,\beta)$-metrics, which are defined by a Riemannian metric $\alpha$ and a $1$-form $\beta$. We find an equation which is necessary and sufficient condition for such Finsler metric to be a Douglas metric. By solving this equation, we obtain all of general $(\alpha,\beta)$-metrics with vanishing Douglas curvature under certain condition. Many new non-trivial examples are explicitly constructed.
%U http://arxiv.org/abs/1505.07953v1