R-complex Finsler spaces with an arctangent Finsler metric

Document Type : Original Article

Authors

1 Department of Mathematics and Statistics, Banasthali Vidyapith, Tonk, Rajasthan-India

2 Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India

Abstract

In this paper, we have defined the concept of the R-complex Finsler space with an arctangent (α, β)-metric  F = α + ε β + β  tan-1( β / α).  For this metric, we have obtained the fundamental metric tensor fields gijand gi¯j as well as their determinants and inverse tensor fields. Further, some properties of non-Hermitian R-complex Finsler spaces with this metric have been described.

Keywords

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Journal of Finsler Geometry and its Applications
Volume 3, Issue 1
July 2022
Pages 31-41

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