Local rigidity of certain classes of almost Kahler 4-manifolds

Mathematics – Differential Geometry

Scientific paper

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LaTex file, 25 pages, typos corrected, improved presentation, accepted in Ann. Global Anal. Geom

Scientific paper

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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