Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of m-th root metric

Abstract

In this paper, we consider the generalized Kropina conformal change of m-th root metric and for this, prove a necessary and sufficient condition of locally projectively flatness. Also we proved a necessary and sufficient condition for the generalized Kropina conformal change of m-th root metric is locally dually flat.

Keywords

• finsler metric
• kropina metric
• generalized kropina metric
• m-th root metrics
• locally projectively flat
• conformal change
• locally dually flat