Douglas space of Second Kind of Finsler space with (α, β)−Metric

G.N Latha kumari; S K Narasimhamurthy

doi:10.56424/jts.v8i01.10555

G.N Latha kumari 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.

DOI: https://doi.org/10.56424/jts.v8i01.10555

Keywords: Douglas space, Finsler space, Douglas space of second kind, Berwald space, (α, β)-metric

Abstract

The (α, β)-metric is a Finsler metric which is contstructed from a Riemannian metric α and a differential 1−form β. In this paper we discussed the conditions under which the Finsler space with (α, β)−metric L = β 2/(β − α) become a Douglas space of Second Kind.