Two classes of weakly Landsberg Finsler metrics

Author(s):

Jila Majidi , Ali Haji-Badali *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we investigate the mean Landsberg curvature of two subclasses of (α,β)-metrics. We prove that these subclasses of (α,β)-metrics with vanishing mean Landsberg curvature have vanishing S-curvature. Using it, we prove that these Finsler metrics are weakly Landsbergian if and only if they are Berwaldian.

Keywords:

weakly Landsberg metric , (α β )-metric , S-curvature

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:4 Issue: 2, Dec 2023
Pages:
92 to 102
https://www.magiran.com/p2677370