Abstract

The class of weakly stretch Finsler metrics contains the class of stretch metric. Randers metrics are important Finsler metrics which are defined as the sum of a Riemann metric and a 1-form. In this paper, we prove that every Randers metric with closed and conformal one-form is a weakly stretch metric if and only if it is a Berwald metric.

Keywords: Weakly stretch metric; Berwald metric; Randers metric.

MSC: 53B40, 53C60

Pages:  174$-$182     

Volume  73 ,  Issue  3 ,  2021