Geometric Properties of Weakly Berwald Space with Some (α,β)-metric

S K Narasimhamurthy; G.N Latha kumari; C S Bagewadi

doi:10.56424/jts.v5i01.10446

S K Narasimhamurthy Department of Mathematics Kuvempu University, Shankaraghatta-577451, Shimoga, Karnataka, India
G.N Latha kumari Department of Mathematics Kuvempu University, Shankaraghatta-577451, Shimoga, Karnataka, India
C S Bagewadi Department of Mathematics Kuvempu University, Shankaraghatta-577451, Shimoga, Karnataka, India

DOI: https://doi.org/10.56424/jts.v5i01.10446

Keywords: Berwald space, Finsler space, Weakly Berwald space, (α,β)-metric.

Abstract

The (α,β)-metric is a Finsler metric which is contstructed from a Riemann- ian metric (α,β)and a di(α,β)erential 1-form ¯. In this paper Finsler space with some (α,β); ¯)-metrics like L = ((α,β) + ¯)2=(α,β) and L2 = 2(α,β)¯ becomes weakly Berwald spaces under some geometric and algebraic conditions.