On Randers changes of $m$th root Finsler metrics $L=\sqrt [m]{A}$ without irreducibility of $A$
Volume 119 / 2017
Annales Polonici Mathematici 119 (2017), 239-253
MSC: Primary 53B40; Secondary 53C60.
DOI: 10.4064/ap4092-8-2017
Published online: 28 September 2017
Abstract
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.
