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Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ricci curvature of M satises Ric(M) 53 ,t henM is a totally geodesic submanifold ( and Ric(M) 2).

The Ricci curvature of totally real {$3$}-dimensional submanifolds of the nearly Kaehler {$6$}-sphere