On CR-statistical submanifolds of holomorphic statistical manifolds

Aliya Naaz Siddiqui, Falleh Al-Solamy, Mohammad Hasan Shahid, Ion Mihai


In the present paper, we investigate some properties of the
distributions involved in the definition of a CR-statistical submanifold.
The characterization of a CR-product in holomorphic statistical man-
ifolds is given. By using an optimization technique, we establish a relationship between the Ricci curvature and the squared norm of the mean curvature of statistical submanifolds in the same ambient space.
The equality case is also discussed. This paper finishes with some related examples,


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