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Local rigidity of certain classes of almost Kahler 4-manifolds

Vestislav Apostolov·John Armstrong·Tedi Draghici
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Abstract

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 locally isometric to the (only) proper 3-symmetric 4-dimensional space described by O. Kowalski.

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Vestislav Apostolov, John Armstrong, Tedi Draghici. 2001-06-22. Local rigidity of certain classes of almost Kahler 4-manifolds. https://arxiv.org/abs/math/9911197

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