JJEM: Volume 5 Issue 2 (Jul - Dec 2021)
JJEM: Volume 5 Issue 2 (Jul - Dec 2021)
2022-01-31
A Study on Main Scalar and Geodesic Equation of a Finsler Space with Special (α,β)-metric
Raghavendra R S, Narasimhamurthy S K, Ramesha M, Chandru K
In the present article, we find the condition for the Finsler space with special (α,β)-metric \( L = \mu \left( \frac{\alpha^2}{\beta} \right) + \nu \left( \frac{\beta^2}{\alpha} \right) \); \( \mu \) and \( \nu \) 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.
(α,β)-metric, Main Scalar , Geodesic equation, Finsler space