The class of Matsumoto metrics with almost vanishing H-curvatures

Document Type : Original Article

Authors

1 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. Email: faghfouri@tabrizu.ac.ir

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. Email: njazer@tabrizu.ac.ir

Abstract

In this paper, we are going to consider a class of (α, β)-metrics which introduced by Matsumoto. We find a condition under which a Matsumoto metric of almost vanishing H-curvature reduces to a Berwald metric.

Keywords