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

Gauree Shanker; Ruchi Kaushik Sharma

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arXiv · 1803.01393

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

Gauree Shanker·Ruchi Kaushik Sharma

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Abstract

In the present paper, the notion of $\mathbb{R}$-complex Finsler space with Infinite Series ($\alpha, \beta$)- metric $\dfrac{\beta^2}{\beta - \alpha}$ 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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BibTeX RIS

Gauree Shanker, Ruchi Kaushik Sharma. 2018-03-04. $\mathbb{R}$-complex Finsler spaces with infinite series $(\alpha, \beta)$-metric. https://arxiv.org/abs/1803.01393

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