University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05003120220701R-Complex Finsler spaces with an arctangent Finsler metric3141167010.22098/jfga.2022.10171.1059ENRenu GillDepartment of Mathematics and Statistics, Banasthali Vidyapith, Tonk,
Rajasthan-IndiaGauree ShankerDepartment of Mathematics and Statistics, Central University of Punjab,
Bathinda, Punjab, India0000-0003-1477-6427Ramdayal SinghKushwahaDepartment of Mathematics and Statistics, Banasthali Vidyapith, Tonk,
Rajasthan-IndiaJournal Article20220117In this paper, we have defined the concept of the <strong>R</strong>-complex Finsler space with an arctangent (α, β)-metric F = α + ε β + β tan<sup>-1</sup>( β / α). For this metric, we have obtained the fundamental metric tensor fields g<sub>ij</sub>and g<sub>i¯j</sub> as well as their determinants and inverse tensor fields. Further, some properties of non-Hermitian <strong>R</strong>-complex Finsler spaces with this metric have been described.https://jfga.uma.ac.ir/article_1670_03c9384946be545f6e2d33bd80860a10.pdf