Twistor and Reflector spaces for paraquaternionic contact manifolds

2024/08/31 by Stefan Ivanov, Ivan Minchev, Ivanov, Stefan +3
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2409.00539

openalex publication_date 2024/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider certain fiber bundles over a paraquaternionic contact manifolds, called twistor and reflector spaces, and show that these carry an intrinsic geometric structure that is always integrable.

Related

• Twistor and Reflector Spaces of Almost Para-Quaternionic Manifolds
• The twistor space of a quaternionic contact manifold
• Contact twistor spaces and almost contact metric structures
• Almost contact structures on the set of rational curves in a 4-dimensional twistor space
• Bihermitian Geometry and the Holomorphic Sections of Twistor Space