Yuya Takeuchi, “A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds”, SIGMA, 2020, Volume 16,005, 5 pp.

This article is cited in 6 papers

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

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.

Keywords: strictly pseudoconvex CR manifold, holomorphically fillable, Chern class.

MSC: 32V15, 32T15, 32V05, 57R17

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

Language: English

DOI: 10.3842/SIGMA.2020.005