On the ℒ-duality of a Finsler space with exponential metric αeβ/α

Acta Universitatis Sapientiae: Mathematica

Kushwaha Ramdayal Singh¹  Shanker Gauree² 

[1] Department of Mathematics and Statistics, Banasthali Vidyapith, India;Department of Mathematics and Statistics, Central University of Punjab, Bathinda, India;

关键词: finsler space;    exponential metric;    cartan space;    duality between finsler and cartan spaces;    53b40;    53c60;   

DOI  :  10.2478/ausm-2018-0014

来源: DOAJ

【 摘 要 】

The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.

【 授权许可】

Unknown