Some constructions of projectively flat Finsler metrics

被引：29

作者：

Mo Kwhuan ^{[1
]}

Shen Zhongmin

Yang Chunhong

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[2] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

[3] Inner Mongolia Univ, Dept Math, Hohhot 010021, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2006年 / 49卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Randers metric; (alpha; beta)-metric; Finsler metric; projectively flat metric; S-curvature;

D O I：

10.1007/s11425-006-0703-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we find some solutions to a system of partial differential equations that characterize the projectively flat Finsler metrics. Further, we discover that some of these metrics actually have the zero flag curvature.

引用

页码：703 / 714

页数：12

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