On Matsumoto change of m-th root finsler metrics

Akbar Tayebi, Shahbazi Nia
2017 Publications de l'Institut Mathématique (Beograd)  
We consider Matsumoto change of Finsler metrics. First, we find a condition under which the Matsumoto change of a Finsler metric is projectively related to it. Then, considering the subspace of m-th root Finsler metrics, if F is the Matsumoto change of F , we prove thatF is locally projectively flat if and only if it is locally dually flat. In this case, F andF reduce to locally Minkowskian metrics. 2010 Mathematics Subject Classification: Primary 53B40; Secondary 53C60. Key words and phrases:
more » ... atsumoto change, locally dually flat metric, projectively flat metric, m-th root metric. Communicated by Stevan Pilipović. 183
doi:10.2298/pim1715183t fatcat:qxvlzgsj4vdrphysb7aeilf42a