Odd type generalized complex structures on 4-manifolds

DOI10.1007/s12220-019-00271-7zbMath1464.53104arXiv1210.0953OpenAlexW2972859091MaRDI QIDQ2659006

Haojie Chen, Xiaolan Nie

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0953

zbMATH Keywords

transversealmost bi-Hermitian structuresholomorphic 2-foliation

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Generalized geometries (à la Hitchin) (53D18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(C^{\infty}\)-logarithmic transformations and generalized complex structures
• Local classification of generalized complex structures
• Generalized Kähler geometry
• Constructions of generalized complex structures in dimension four
• On the number of type change loci of a generalized complex structure
• Generalized complex geometry
• Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
• A surgery for generalized complex structures on 4-manifolds
• Generalized Kähler manifolds and off-shell supersymmetry
• La 1-forme de torsion d'une variété hermitienne compacte
• The Monge-Ampère equation for non-integrable almost complex structures
• Type one generalized Calabi-Yaus
• Generalized Kähler manifolds, commuting complex structures, and split tangent bundles
• Generalized complex manifolds and supersymmetry
• Blow-up of generalized complex 4-manifolds
• Generalized Calabi-Yau Manifolds
• Symplectic Foliations and Generalized Complex Structures
• On transversely holomorphic flows. I
• On transversely holomorphic flows. II

This page was built for publication: Odd type generalized complex structures on 4-manifolds