Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 16 (2020), 005, 5 pages      arXiv:1808.02209      https://doi.org/10.3842/SIGMA.2020.005

A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds

Yuya Takeuchi
Department of Mathematics, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan

Received July 25, 2019, in final form January 18, 2020; Published online January 21, 2020

Abstract
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.

Key words: strictly pseudoconvex CR manifold; holomorphically fillable; Chern class.

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