On a type of semi-symmetric connection on a Riemannian manifold (Q919628)

The author considers a Riemannian manifold (M,g) with a metric semi- symmetric connection D. He proves that if the curvature tensor R of D is 2-recurrent with respect to the Levi-Cività connection, then the manifold (M,g) is conformally 2-recurrent. But this result is obvious, because 2-recurrence of R implies 2-recurrence of the conformal curvature tensor relative to the metric semi-symmetric connection and this tensor is equal to the Weyl conformal curvature tensor [\textit{K. Amur} and \textit{S. S. Pujar}, Tensor, New. Ser. 32, 35-38 (1978; Zbl 0399.53004)].