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Randers Metrics of Constant Scalar Curvature

Published online by Cambridge University Press:  20 November 2018

Sevim Esra Sengelen  and
Zhongmin Shen
Sevim Esra Sengelen
Affiliation:
Department of Mathematics, Istanbul Bilgi University, 34440, Kurtulusderesi Cad. No: 48 Dolapdere/Beyoglu, Istanbul, Turkey e-mail: esengelen@bilgi.edu.tr
Zhongmin Shen
Affiliation:
Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), Indianapolis, IN 46202-3216, USA e-mail: zshen@math.iupui.edu
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Abstract.

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

Keywords

53C6053B40Randers metricsscalar curvatureS-curvature
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 615 - 620
Copyright
Copyright © Canadian Mathematical Society 2013

References

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