Abstract
We consider complete nearly-Kahler manifolds with a canonicalHermitian connection. We prove some metric properties of strict nearly-Kahler manifolds and give a sufficient condition for the reducibility of the canonical Hermitian connection. A holonomic condition for a nearly-Kahler manifold to be a twistor space over a quaternionic-Kahler manifold is given. This enables us to give classification results in 10-dimensions.
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