Randers Metrics of Constant Scalar Curvature

Canadian mathematical bulletin

Esra Sengelen Sevim²  Zhongmin Shen¹ 

[1] Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), Indianapolis, IN 46202-3216, USA;Department of Mathematics, Istanbul Bilgi University, 34440, Kurtulusderesi Cad. No: 48 Dolapdere/Beyoglu, Istanbul, Turkey

关键词: Randers metrics;    scalar curvature;    S-curvature;   

DOI  :  10.4153/CMB-2011-187-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Randers metrics are a special class of Finsler metrics. Every Randersmetric can be expressed in terms of a Riemannian metric and a vectorfield via Zermelo navigation. In this paper, we show that a Randers metric has constant scalarcurvature if the Riemannian metric has constant scalar curvature andthe vector field is homothetic.

【 授权许可】

Unknown