Local rigidity of certain classes of almost Kahler 4-manifolds

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

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Differential Geometry, 53B20; 53C15; 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/79478

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911197
 http://arxiv.org/abs/math/9911197

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arXiv