The class of Matsumoto metrics with almost vanishing H-curvatures

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JFGA-1-1_009

تاریخ نمایه سازی: 18 آبان 1402

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:

Matsumoto metric , Almost vanishing {bf H}-curvature , Berwald curvature

Authors

Morteza Faghfouri

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

Nadereh Jazer

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