ON CUBIC (\alpha, \beta)-METRICS IN FINSLER GEOMETRY

Facta Universitatis. Series Mathematics and Informatics

article

Hosein Tondro Vishkaei¹  Akbar Tayebi² 

[1] Department of Mathematics Bandar Anzali Branch Islamic Azad University Bandar Anzali. Iran;University of Qom

关键词: Cubic metric;    weakly Landsberg metric;    S-curvature;   

DOI  :  10.22190/FUMI220323030T

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper, we study the class of  cubic (\alpha, \beta)-metrics.  We show that every  weakly Landsberg cubic (\alpha, \beta)-metric has vanishing S-curvature. Using it, we prove that  cubic (\alpha, \beta)-metric is a weakly Landsberg metric if and only if it is a Berwald metric. This yields an extension of the  Matsumoto's result for Landsberg cubic metric.

【 授权许可】

Unknown