Integrable Complex Structures on Twistor Spaces

DOI10.1093/qmath/haz005zbMath1473.32011arXiv1212.4138OpenAlexW2964136886MaRDI QIDQ5147017

Steven Gindi

Publication date: 2 February 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4138

zbMATH Keywords

twistor spacesSKT manifoldsHKT manifoldsbi-Hermitian manifolds

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Local differential geometry of Hermitian and Kählerian structures (53B35) Almost complex manifolds (32Q60)

Cites Work

• Unnamed Item
• Twistor spaces
• A local index theorem for non-Kähler manifolds
• Construction of instantons
• Nonlinear gravitons and curved twistor theory
• On the twistor spaces of almost Hermitian manifolds
• Geometry of hyper-Kähler connections with torsion
• Families of strong KT structures in six dimensions
• Self-duality in four-dimensional Riemannian geometry
• Bihermitian Structures on Complex Surfaces
• Generalized Calabi-Yau Manifolds

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