ON A CLASS OF RICCI-FLAT DOUGLAS METRICS

被引：25

作者：

Sevim, Esra Sengelen ^{[1
]}

Shen, Zhongmin ^{[2
]}

Zhao, Lili ^{[3
]}

机构：

[1] Istanbul Bilgi Univ, Dept Math, TR-34440 Istanbul, Turkey

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

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 06期

关键词：

(alpha; beta)-metrics; Douglas-metric; Ricci curvature;

D O I：

10.1142/S0129167X12500462

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.

引用

页数：15

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