IJPAM: Volume 120, No. 3 (2018)

Title

$\mathbb{R}$-COMPLEX FINSLER SPACES WITH
INFINITE SERIES $(\alpha, \beta)$-METRIC

Authors

Gauree Shanker$^1$, Ruchi Kaushik Sharma$^2$
$^1$Department of Mathematics and Statistics
Central University of Punjab
Bhatinda-151 001, Punjab, INDIA
$^2$Department of Mathematics and Statistics Banasthali University
Banasthali, 304022, Rajasthan, INDIA

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.

History

Received: March 19, 2018
Revised: October 9, 2018
Published: November 27, 2018

AMS Classification, Key Words

AMS Subject Classification: 53B40, 53C60
Key Words and Phrases: complex Finsler space, $\mathbb{R}$-complex Finsler space, infinite series metric

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Bibliography

1
Abate, M. and Patrizio, G., Finsler Metrics - A Global Approach, Lecture Notes in Math., Springer-Verlag, 1591, 1994.

2
Abate, M. and Patrizio, G., On some classes of $\mathbb{R}$ - complex Hermitian Finsler spaces, manuscript, 2013 edition, (1994).

How to Cite?

DOI: 10.12732/ijpam.v120i3.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 3
Pages: 351 - 363


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