Blowing up generalized Kähler 4-manifolds

DOI10.1007/s00574-011-0028-1zbMath1258.53086arXiv1106.1481OpenAlexW1968950252MaRDI QIDQ420557

Marco Gualtieri, Gil R. Cavalcanti

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1481

zbMATH Keywords

blow-upgeneralized Kähler structurebihermitian structure

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Local differential geometry of Hermitian and Kählerian structures (53B35) Generalized geometries (à la Hitchin) (53D18)

Related Items (7)

Generalized metrics and generalized twistor spaces ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ On a question of Vaisman concerning complex surfaces ⋮ Blow-ups in generalized Kähler geometry ⋮ Generalized Kähler almost abelian Lie groups ⋮ Complex Dirac structures: invariants and local structure

Cites Work

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• Anti-self-dual bihermitian structures on Inoue surfaces
• Generalized complex geometry
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• Instantons, Poisson structures and generalized Kähler geometry
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• Some curvature properties of complex surfaces
• Complex structures on Riemannian four-manifolds
• Bi-hermitian metrics on del Pezzo surfaces
• Generalized Kähler manifolds, commuting complex structures, and split tangent bundles
• Blow-up of generalized complex 4-manifolds
• The Riemannian Goldberg–Sachs Theorem
• Bihermitian Structures on Complex Surfaces
• Bihermitian surfaces with odd first Betti number

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