Conformal Vector Fields on Finsler Space with Special (α , β )- Metric
N. Natesh *
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
S. K. Narasimhamurthy
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
M. K. Roopa
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we study the conformal vector elds on a class of Finsler metrics. In particular Finsler space with special (α, β)- metric `F =\alpha +\frac{\beta^2}{\alpha} ` is dened in Riemannian metric α and 1-form β and its norm. Then we characterize the PDE's of conformal vector elds on Finsler space with special (α, β)- metric.
Keywords: Finsler space, conformal vector elds, special (α, β)- metric