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arxiv: math/0605342 · v2 · submitted 2006-05-12 · 🧮 math.DG

Generalized Kaehler manifolds with split tangent bundle

classification 🧮 math.DG
keywords generalizedkaehlercomplexmanifoldsstructuresbundleclassifycommute
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We study generalized Kaehler manifolds for which the corresponding complex structures commute and classify completely the compact generalized Kaehler four-manifolds for which the induced complex structures yield opposite orientations.

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