Geodesic
On Randers changes of $m$th root Finsler metrics $L=\sqrt [m]{A}$ without irreducibility of $A$
Guangzu Chen1 ; Lihong Liu1
1School of Science East China JiaoTong University Nanchang 330013, P.R. China
Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 239-253
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study Randers changes of $m$th root Finsler metrics, and provide necessary and sufficient conditions for the Finsler metric obtained by a Randers change of an $m$th root metric to be dually flat. We also prove that if the Finsler metric obtained by a Randers change of an $m$th root metric is projectively flat, then the $m$th root metric is locally Minkowskian or Riemannian.
DOI : 10.4064/ap4092-8-2017
Keywords: study randers changes mth root finsler metrics provide necessary sufficient conditions finsler metric obtained randers change mth root metric dually flat prove finsler metric obtained randers change mth root metric projectively flat mth root metric locally minkowskian riemannian

Guangzu Chen  1   ; Lihong Liu  1

1 School of Science East China JiaoTong University Nanchang 330013, P.R. China 
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     title = {On {Randers} changes of $m$th root {Finsler} metrics $L=\sqrt [m]{A}$ without irreducibility of $A$},
     journal = {Annales Polonici Mathematici},
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Guangzu Chen; Lihong Liu. On Randers changes of $m$th root Finsler metrics $L=\sqrt [m]{A}$ without irreducibility of $A$. Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 239-253. doi: 10.4064/ap4092-8-2017

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