A Study on Main Scalar and Geodesic Equation of a Finsler Space with Special (α,β)-metric

Journal

JJEM: Volume 5 Issue 2 (Jul - Dec 2021)

Published On:

2022-01-31

Topic

A Study on Main Scalar and Geodesic Equation of a Finsler Space with Special (α,β)-metric

Authors

Raghavendra R S, Narasimhamurthy S K, Ramesha M, Chandru K

Abstract

In the present article, we find the condition for the Finsler space with special (α,β)-metric $L = μ (\frac{α^{2}}{β}) + ν (\frac{β^{2}}{α})$ ; $μ$ and $ν$ are constants. to be of Berwald space. Further, we determine the main scalar of two dimensional Finsler space and finally we derive the geodesic equation for a Finsler space with above mentioned metric.

Keywords

(α,β)-metric, Main Scalar , Geodesic equation, Finsler space

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