
In this article, we determine the necessary and sufficient condition that makes -manifold classified as almost -manifold. We discover -manifold belongs to the class and then to the class because , however, this manifold does not belong to the class unless its dimension is 3, or it rounds to -manifold. We obtain the basic condition that makes -manifold has pointwise constant -holomorphic sectional curvature (pointwise constant -curvature). Moreover, we get the components of the concircular curvature tensor on the G-structure adjoined space (GSA-space) of -manifold. Also, we conclude that both -manifold of class and the concircularly flat -manifold has scalar curvature . Finally, we find a specific relationship between an Einstein manifold and a concircularly flat -manifold.
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