The twistor space of a quaternionic contact manifold

2010/10/24 by Johann Davidov, Stefan Ivanov, Davidov, Johann +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1010.4994

openalex publication_date 2010/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection commutes with the endomorphisms in the quaternionic structure of the contact distribution.

Citations

• Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem

Related

• Contact twistor spaces and almost contact metric structures
• On the twistor space of a (co-)CR quaternionic manifold
• Twistor Theory for co-CR quaternionic manifolds and related structures
• Twistor and Reflector spaces for paraquaternionic contact manifolds
• Twistor space of a generalized quaternionic manifold