Journal Article

Several isotropic curvatures of the Minkowskian product Finsler metric

Ouyang, Tan, Zhang, Na

2026

Overview

In this research, we mainly conduct research on three types of curvatures—namely the isotropic mean Berwald curvature, relatively isotropic Landsberg curvature, and relatively isotropic mean Landsberg curvature—with respect to the Minkowskian product Finsler metric F . Firstly, we showed that the F possesses isotropic mean Berwald curvature equals that it can be qualified as a weakly Berwald metric. Secondly, we obtained that F possessing relatively isotropic Landsberg curvature is equivalent to that it is a Landsberg metric. Ultimately, this study presented the equivalent conditions that ensure the Minkowskian product Finsler metric constructed from two Finsler metrics, each possessing relatively isotropic mean Landsberg curvature, also exhibits the property that it qualifies as relatively isotropic mean Landsberg curvature.

• Publisher: IOP Publishing
• Subject: Curvature / Equivalence