A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Takeuchi, Yuya
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210605
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds. Yuya Takeuchi. SIGMA 16 (2020), 005, 5 pages

This short paper gives a constraint on Chern classes of closed strictly pseudoconvex CR manifolds (or equivalently, closed holomorphically fillable contact manifolds) of dimension at least five. We also see that our result is ''optimal'' through some examples.