Generalized Kaehler manifolds with split tangent bundle

2006/05/12 by Vestislav Apostolov, Apostolov, Vestislav, Marco Gualtieri +1 · 2 citations
Mathematics · Physics and Astronomy · #53C15 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0605342

openalex publication_date 2006/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Generalized geometry and the Hodge decomposition
• Generalized Complex Geometry

Cited by

• Complex structures on 2-step nilpotent Lie algebras arising from graphs
• Hermitian geometrically formal manifolds

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