On the decomposition of curvature tensor in recurrent conformal Finsler space

Abstract

M.S. Knebelman [1] has developed conformal geometry of generalised metric spaces. The projective tensor and curvature tensors in conformal Finsler spaces were discussed by R.B.Misra [3,4]. M.Gama [6] has decomposed recurrent curvature tensor in an areal space of submetric class. The decomposition of recurrent curvature tensor in Finsler space was studied by B.B.Sinha and S.P.Singh [5]. the purpose of present paper is to decompose the recurrent conformal curvature tensor and study the properties of conformal decomposition tensors.