General (α, β) metrics with relatively isotroic mean Landsberg curvature

2017/06/27 by A. Ala, Ala, A., A. Behzadi +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fibroblast Growth Factor Research #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1706.08854

openalex publication_date 2017/06/27 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study a new class of Finsler metrics, F=αϕ(b²,s), s:=β/α, defined by a Riemannian metric αand 1-form β. It is called general (α, β) metric. In this paper, we assume ϕbe coefficient by s and βbe closed and conformal. We find a nessecary and sufficient condition for the metric of relatively isotropic mean Landsberg curvature to be Berwald.

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