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math.DG2003
Kaehler reduction of metrics with holonomy G_2
Vestislav Apostolov, Simon Salamon
A torsion-free G_2 structure admitting an infinitesimal isometry is shown to give rise to a 4-manifold equipped with a complex symplectic structure and a 1-parameter family of func…
math.DG2003
The curvature and the integrability of almost-Kahler manifolds: a survey
Vestislav Apostolov, Tedi Draghici
We survey some recent results and constructions of almost-Kähler manifolds whose curvature tensors have certain algebraic symmetries. This is an updated and corrected version of th…