ON R-COMPLEX FINSLER SPACES
WITH SPECIAL (α, β)-METRIC
Gauree Shanker1, Sruthy Asha Baby2
1Centre for Mathematics & statistics
Central University of Punjab
Bathinda, 151001, Punjab, INDIA
2Department of Mathematics and Statistics (AIM & ACT)
Banasthali University
Banasthali, 304022, Tonk District, Rajasthan, INDIA

Abstract

In the present paper, the notion of $\mathbb{R}$-complex Finsler space with special $(\alpha, \beta)$-metric $\alpha + \epsilon \beta + \lambda \frac{\beta^2}{\alpha}$ (where $\epsilon, \lambda \neq$ 0 are constants ) which is the generalization of Randers metric and Z. Shen's square metric is defined. The fundamental metric tensor fields $g_{ij}$ and $g_{i\bar{j}}$ and their determinants and inverse tensor fields are obtained. Some examples of non-Hermitian $\mathbb{R}$-complex Finsler spaces with the special $(\alpha, \beta)$-metric are given.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 29
Issue: 5
Year: 2016

DOI: 10.12732/ijam.v29i5.8

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