On general (α, β)-metrics with vanishing Douglas curvature

被引：13
|
作者：
Zhu, Hongmei [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 09期
关键词：
Finsler metric; general; (alpha; beta)-metric; Douglas metric; CONSTANT FLAG CURVATURE; SYMMETRIC FINSLER METRICS;
D O I：
10.1142/S0129167X15500767
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：16
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