ON A CLASS OF DOUGLAS METRICS

被引：45

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

[1]

Bacso S, 1997, PUBL MATH-DEBRECEN, V51, P385

[2]

Chern S S., 2005, Riemann-Finsler Geometry

[3]

Douglas J, 1928, ANN MATH, V29, P143

[4]

Kitayama M., 1995, J HOKKAIDO U ED A, V46, P1

[5]

Li BL, 2007, ACTA MATH SCI, V27, P781

[6]

Matsumoto M., 1998, Tensor, V60, P123

[7] Some constructions of projectively flat Finsler metrics [J].

Mo Kwhuan ;

Shen Zhongmin ;

Yang Chunhong .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (05) :703-714

[8] Some projectively flat (α,β)-metrics [J].

Shen Yibing ;

Zhao Lili .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (06) :838-851

[9] On a class of projectively flat metrics with constant flag curvature [J].

Shen, Z. ;

Yidirim, G. Civi .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2008, 60 (02) :443-456

[10]

SHEN Z, CANADIAN MA IN PRESS

← 1 2 →