On Kropina Change of m-th Root Finsler Metrics

2014/09/13 by Tayebi, A., Tabatabaeifar, T., Peyghan, E.
#53B40 #53C25 #53C60 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.7351

Abstract

In this paper, we consider Kropina change of m-th root Finsler metrics. We find necessary and sufficient condition under which the Kropina change of an m-th root Finsler metric be locally dually flat. Then we prove that the Kropina change of an m-th root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.

Related

• Kropina change of a Finsler space with m-th root metric
• On Generalized m-th Root Finsler Metrics
• On a Class of Singular Projectively Flat Finsler Metrics with Constant Flag Curvature
• On a Class of Singular Douglas and Projectively flat Finsler Metrics
• On a Class of Two-Dimensional Singular Douglas and Projectively flat Finsler Metrics