Reduction of certain projectively flat Finsler metrics

被引：1
作者：
Zheng, Daxiao [1 ]
机构：
[1] Anhui Normal Univ, Dept Math & Stat, Wuhu 241000, Anhui, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2019年 / 65卷
关键词：
General; (alpha; beta)-metric; Locally projectively; Flag curvature; Deformation; (ALPHA;
D O I：
10.1016/j.difgeo.2019.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of Finsler metric defined by a Riemannian metric, a 1-form and its norm. We show that every non-trivial locally projectively flat metrics in such a form can be reexpressed to a special one defined by locally projectively flat Riemannian metric, a closed conformal 1-form and its norm in dimension n >= 3. (C) 2019 Published by Elsevier B.V.
引用
收藏
页码：160 / 175
页数：16
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