(?)-KENMOTSU MANIFOLD ADMITTTING SCHOUTEN-VAN KAMPEN CONNECTION

摘要

The purpose of this paper is to study various geometric properties of (?)-Kenmotsu manifold admitting Schouten-van Kampen connection. A unique relation between curvature tensors of Schouten-van Kampen connection and Levi-Civita connection have been obtained. We study quasi-conformally flat as well as conformally flat (?)-Kenmotsu manifold with respect to Schoutenvan Kampen connection. Moreover, it is shown that a ?-conformally flat (?)-Kenmotsu manifold with respect to Schouten-van Kampen connection is an η-Einstein manifold. Also, we study (?)-Kenmotsu manifold with respect to Schouten-van Kampen connection satisfying C*(ξ, U).R* = 0 and C*(ξ, U).S* = 0, where C*, R*, S* are conformal curvature tensor, Riemannian curvature tensor and Ricci tensor with respect to Schouten-van Kampen connection respectively.