ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE-Reference-Cited by-同舟云学术

ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE

Published:2009-03 Issue:03 Volume:20 Page:369-376
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

LI BENLING¹,SHEN ZHONGMIN²³

Affiliation:

1. Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province 315211, P. R. China

2. Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang Province 310027, P. R. China

3. Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005315

Reference9 articles.

1. On Randers spaces of constant flag curvature

2. Randers spaces of constant curvature

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