Symplectic 4-manifolds with Hermitian Weyl tensor

Apostolov, Vestislav; Armstrong, John

doi:10.1090/S0002-9947-00-02624-6

Symplectic 4-manifolds with Hermitian Weyl tensor
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by Vestislav Apostolov and John Armstrong PDF

Trans. Amer. Math. Soc. 352 (2000), 4501-4513 Request permission

Abstract:

It is proved that any compact almost Kähler, Einstein 4-manifold whose fundamental form is a root of the Weyl tensor is necessarily Kähler.

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