The curvature and the integrability of almost-Kahler manifolds: a survey

Mathematics – Differential Geometry

Scientific paper

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30 pages, to appear in `Symplectic and Contact Topology: Interactions and Perspectives', (eds. Y.Eliashberg, B. Khesin, F. Lal

Scientific paper

We survey some recent results and constructions of almost-K\"ahler manifolds
whose curvature tensors have certain algebraic symmetries. This is an updated
and corrected version of the (to be) published manuscript.

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