Generalized Kaehler manifolds with split tangent bundle

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.

20 pages, typos corrected, presentation improved

References in corpus (2)

• Generalized geometry and the Hodge decomposition
• Calabi-Yau Connections with Torsion on Toric Bundles

Cited by in corpus (2)

• Generalized Kahler geometry
• From generalized Kaehler to generalized Sasakian structures