𝒲8-Curvature tensor on a complex contact space form

In this paper, we study the curvature properties of the [Formula: see text]-curvature tensor on a complex contact space form. The conditions for a complex contact space form to be [Formula: see text]-[Formula: see text]-flat, [Formula: see text]-[Formula: see text]-semi-symmetric, [Formula: see text], and [Formula: see text] are investigated. In addition, we prove that both [Formula: see text]-[Formula: see text]-flat and [Formula: see text] conditions are a mixed generalized quasi-Einstein manifold, and [Formula: see text]-[Formula: see text]-semi-symmetric and [Formula: see text] conditions are an Einstein manifold for a complex contact space form.