Abstract
We study the local structures of nearly Kähler manifolds with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke (TV). We show that there does not exist a TV Bochner flat strict nearly Kähler manifold in 2 n ( ⩾ 10 ) dimension and determine the local structures of the manifolds in 6 and 8 dimensions.
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