Recurrences with respect to a semi-symmetric metric connection on an almost Hermite manifold (Q1022184)

\textit{H. S. Ruse} [Proc. Lond. Math. Soc., II. Ser. 50, 438--446 (1948; Zbl 0038.34303)] studied, for the first time, the three dimensional spaces of recurrent curvature. His results were subsequently generalized by other authors [\textit{S. C. Rastogi} J. Tensor Soc. India 13, 1--6 (1995); \textit{W. Roter}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 12, 207--211 (1964; Zbl 0129.35603)]. In this paper, the authors introduce recurrent almost Hermite manifolds with respect to a Riemannian metric connection and a semi-symmetric metric connection. They also obtain necessary and sufficient conditions for a recurrent almost Hermite manifold with respect to Riemannian connection to be a recurrent almost Hermite manifold to the semi-symmetric metric connection.