5 papers · 1 filter
Symplectic obstructions to the existence of -compatible Einstein metrics
Tedi Draghici
It is shown that the existence of an -compatible Einstein metric on a compact symplectic manifold imposes certain restrictions on the symplectic Chern numbers. Examples…
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…
Local models and integrability of certain almost Kahler 4-manifolds
Vestislav Apostolov, John Armstrong, Tedi Draghici
We classify, up to a local isometry, all non-Kahler almost Kahler 4-manifolds for which the fundamental 2-form is an eigenform of the Weyl tensor, and whose Ricci tensor is invaria…
Almost Kahler 4-manifolds with J-invariant Ricci tensor and special Weyl tensor
Vestislav Apostolov, Tedi Draghici
We study the question of integrability of a compatible almost complex structure on a compact symplectic 4-manifold, under various natural assumptions on the curvature of the associ…
Local rigidity of certain classes of almost Kahler 4-manifolds
Vestislav Apostolov, John Armstrong, Tedi Draghici
We show that any non-Kahler, almost Kahler 4-manifold for which both the Ricci and the Weyl curvatures have the same algebraic symmetries as they have for a Kahler metric is locall…