On a class of projectively flat metrics with constant flag curvature

被引：48

作者：

Shen, Z. ^{[1
]}

Yidirim, G. Civi ^{[2
]}

机构：

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

[2] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-80626 Istanbul, Turkey

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2008年 / 60卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.4153/CJM-2008-021-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find equations that characterize locally projectively flat Finsler metrics in the form F = (alpha + beta)(2)/alpha, where alpha = root a(ij)y(i)y(j) is a Riemannian metric and beta = b(i)y(i) is a 1-form. Then we completely determine the local structure of those with constant flag curvature.

引用

页码：443 / 456

页数：14

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