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Projectively Flat Fourth Root Finsler Metrics

Published online by Cambridge University Press:  20 November 2018

Benling Li  and
Zhongmin Shen
Benling Li
Affiliation:
Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province 315211, P.R. China e-mail: [email protected]
Zhongmin Shen
Affiliation:
Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province 310027, P.R. China, and Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA e-mail: [email protected]
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Abstract

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In this paper, we study locally projectively flat fourth root Finsler metrics and their generalized metrics. We prove that if they are irreducible, then they must be locally Minkowskian.

Keywords

53B40projectively flatFinsler metricfourth root Finsler metric
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 138 - 145
Copyright
Copyright © Canadian Mathematical Society 2012

References

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