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arXiv · 2006.08919

Chern classes of spherical CR manifolds

Yuya Takeuchi
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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.

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BibTeXRIS

Yuya Takeuchi. 2020-06-16. Chern classes of spherical CR manifolds. https://doi.org/10.2422/2036-2145.202010_006

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