Abstract
We prove that a compact almost Kähler manifold satisfying that a certain part of thedivergence δW of the Weyl conformal tensor W vanishes isKähler.
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Satoh, H. Compact Almost Kähler Manifolds with Divergence-Free Weyl Conformal Tensor. Annals of Global Analysis and Geometry 26, 107–116 (2004). https://doi.org/10.1023/B:AGAG.0000031159.07314.8f
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DOI: https://doi.org/10.1023/B:AGAG.0000031159.07314.8f