The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Marugame, Taiji
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214194
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three. Taiji Marugame. SIGMA 21 (2025), 090, 26 pages

We give an explicit description of the Fefferman metric for twistor CR manifolds in terms of Riemannian structures on the base conformal 3-manifolds. As an application, we prove that chains and null chains on twistor CR manifolds project to conformal geodesics, and that any conformal geodesic has li...