Chern classes of spherical CR manifolds
Differential Geometry
2022-10-13 v2 Complex Variables
Geometric Topology
Symplectic Geometry
Abstract
We first construct closed spherical CR manifolds of dimension at least five having non-trivial first Chern class with real coefficients. We next prove a constraint on Chern classes with real coefficients of (not necessarily closed) spherical CR manifolds. Finally, we obtain a topological obstruction to the existence of spherical CR structures on co-oriented contact manifolds.
Keywords
Cite
@article{arxiv.2006.08919,
title = {Chern classes of spherical CR manifolds},
author = {Yuya Takeuchi},
journal= {arXiv preprint arXiv:2006.08919},
year = {2022}
}
Comments
10 pages, final version. arXiv admin note: text overlap with arXiv:2003.10779