David E. Blair and Tedi Draghici: Remarks on Weyl Curvature in Almost Kähler Geometry, p.241-249

Abstract:

We give a slightly different presentation of some recent results of Kirchberg on the integrability of compact almost Kähler manifolds and obtain an extension of a theoreom of Kirchberg in dimension 4.

Key Words: Almost Kähler manifold, conformal scalar curvature, Goldberg conjecture, Weyl curvature tensor.

2000 Mathematics Subject Classification: Primary: 53C25,
Secondary: 53C15, 53C55.

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