Bull. Korean Math. Soc. 2023; 60(6): 1641-1650
Online first article August 26, 2023 Printed November 30, 2023
https://doi.org/10.4134/BKMS.b220801
Copyright © The Korean Mathematical Society.
Mehran Gabrani, Bahman Rezaei, Esra Sengelen Sevim
Urmia University; Urmia University; Kazim Karabekir Cad. No: 2/13 Eyupsultan
It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension $n\geq 2$ is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.
Keywords: Finsler metric, warped product metrics, isotropic mean Berwald curvature
MSC numbers: Primary 53C25, 53C60
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