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A Class of Finsler Metrics with Bounded Cartan Torsion

Published online by Cambridge University Press:  20 November 2018

Xiaohuan Mo  and
Linfeng Zhou
Xiaohuan Mo
Affiliation:
Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China e-mail: [email protected]
Linfeng Zhou
Affiliation:
Department of Mathematics, East China Normal University, 200241 Shanghai, P.R. China e-mail: [email protected]
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Abstract

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In this paper, we find a class of $\left( \alpha ,\,\beta \right)$ metrics which have a bounded Cartan torsion. This class contains all Randers metrics. Furthermore, we give some applications and obtain two corollaries about curvature of this metrics.

Keywords

58E20Finsler manifold(α, β) metricCartan torsionR-quadraticflag curvature
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 122 - 132
Copyright
Copyright © Canadian Mathematical Society 2010

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