ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE

被引：33

作者：

Li, Benling ^{[1
]}

Shen, Zhongmin ^{[2
,3
]}

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

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2009年 / 20卷 / 03期

基金：

美国国家科学基金会;

关键词：

Finsler metric; Randers metric; R-quadratic Riemannian curvature; Riemannian curvature; FINSLER; SPACES;

D O I：

10.1142/S0129167X09005315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study Randers metrics with quadratic Riemann curvature as in the Riemannian case. We find equations that characterize R-quadratic Randers metrics. In particular, we show that R-quadratic Randers metrics must have constant S-curvature.

引用

页码：369 / 376

页数：8

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