Locally dually flatness and locally projectively flatness of Matsumoto change with m-th root Finsler metrics

In this paper, we study the Matsumoto change of m-th root Finsler metric. We find the necessary and sufficient conditions under which the transformed metric be locally dually flat. Also, we prove that for Matsumoto change of m-th root metric is locally projectively flat if and only if it is locally Minkowskian.

کلیدواژه ها:

Finsler metric ، m-th root metric ، Matsumoto change ، Locally projectively flat metric and Locally dually flat metric