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arxiv: math/9911197 · v2 · submitted 1999-11-25 · 🧮 math.DG

Local rigidity of certain classes of almost Kahler 4-manifolds

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keywords kahleralmostalgebraiccertainclassescurvaturesdescribeddimensional
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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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