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The Quarterly Journal of Mathematics 2000 51(3):275-294; doi:10.1093/qjmath/51.3.275
© 2000 by Oxford University Press
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Almost Kähler 4-manifolds with J-invariant ricci tensor and special weyl tensor

Vestislav Apostolov1,* and Tedi Draghici2,§

1 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. Bl. 8, 1113 Sofia, Bulgaria 2 Department of Mathematics, Northeastern Illionois University, Chicago, IL 60625-4699, USA

We give topological conditions for the existence of almost Kähler 4-manifolds with certain curvature properties.

Received 5 August, 1998. Revised 5 August, 1998.

* E-mail: hmsri@uvvm.uvic.ca

§ E-mail: vu@math-1.sci.kuniv.edu.kw


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