ON A CLASS OF DOUGLAS METRICS

被引：42

作者：

Li, Benling ^{[1
]}

Shen, Yibing ^{[2
]}

Shen, Zhongmin ^{[3
,4
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

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

[4] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2009年 / 46卷 / 03期

基金：

美国国家科学基金会;

关键词：

Finsler metric; Douglas metric; (alpha; beta)-metric;

D O I：

10.1556/SScMath.2009.1096

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 defined by a Riemannian metric and a 1-form on a manifold. We find an equation that characterizes Douglas metrics on a manifold of dimension n >= 3.

引用

页码：355 / 365

页数：11

共 13 条

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Mo Kwhuan
Shen Zhongmin
Yang Chunhong
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[8] Some projectively flat (α,β)-metrics
Shen Yibing
Zhao Lili
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (06): : 838 - 851
[9] On a class of projectively flat metrics with constant flag curvature
Shen, Z.
Yidirim, G. Civi
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2008, 60 (02): : 443 - 456
[10] SHEN Z, CANADIAN MA IN PRESS

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