$\mathbb{R}$-complex Finsler spaces with infinite series $(\alpha ,\beta )$-metric

Abstract

In the present paper, the notion of $\mathbb{R}$-complex Finsler space with Infinite Series ($\alpha ,\beta$)- metric $\frac{{\beta }^2}{\beta -\alpha }$ is defined. The Fundamental metric fields $g_{ij}$, $g_{i\bar{j}}$, their determinants and the inverse of these tensor fields are obtained. Also some properties of these spaces are studied.

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