Abstract

In this article, the behavior of the C(α)-manifold satisfying the conditions R(X,Y)W∗ = 0,W∗ (X,Y)R = 0,W∗ (X,Y)Z˜ = 0, W∗ (X,Y)S = 0 and W∗ (X,Y)C˜ = 0 on the M−projective curvature tensor is investigated. The C(α)−Manifold is characterized according to these states of the curvature tensor. Here, W∗ ,R,S,Z˜ and C˜ are M−projective, Riemann, Ricci, concircular and quasiconformal curvature tensors

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