MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ON WEAKLY STRETCH RANDERS METRICS
A. Tayebi, A. Ghasemi, M. Sabzevari

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.

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

MSC: 53B40, 53C60

Pages:  174--182     

Volume  73 ,  Issue  3 ,  2021