Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor

Abstract

It is proved that if an almost Hermitian manifold of dimension greater than 4 has vanishing (classical) Bochner curvature tensor and is not Kaehlerian at a point, then it is flat in a neighbourhood of this point.

MR 2011f:53049, 5 pages

References in corpus (2)

• Warped product Kaehler manifolds and Bochner-Kaehler metrics
• Almost Hermitian Manifolds with Vanishing Generalized Bochner Curvature Tensor