LAGRANGE SPACES WITH GENERALIZED $(\gamma,\,\beta)$-METRIC

Facta Universitatis. Series Mathematics and Informatics

Suresh Kumar Shukla¹ 

[1] Department of Mathematics,University of Allahabad, Allahabad-211002,INDIA

关键词: Lagrange spaces;    Generalized $(\gamma;    \beta)$-metric;    Euler-Lagrange equations;    Canonical semispray;    Nonlinear connection.;   

DOI  :  

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 】

The present paper deals with the differential geometry of a Lagrange space endowed with  generalized $(\gamma, \beta)$-metric, where $\gamma$ is an $m^{th}$-root  metric and $\beta$ is a 1-form. We obtain fundamental tensor, its inverse, Euler-Lagrange equations, semispray coefficients and canonical nonlinear connection for a Lagrange space with $(\gamma, \beta)$-metric. Several other properties of such space are also discussed.

【 授权许可】

Unknown