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Generalized Kaehler manifolds with split tangent bundle

Vestislav Apostolov·Marco Gualtieri
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Abstract

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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Vestislav Apostolov, Marco Gualtieri. 2006-05-23. Generalized Kaehler manifolds with split tangent bundle. https://arxiv.org/abs/math/0605342

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