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arXiv · 1607.05010

Hyperbolic complex contact structures on $\mathbb{C}^{2n+1}$

Franc Forstneric
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Abstract

In this paper we construct complex contact structures on $\mathbb{C}^{2n+1}$ for any $n\ge 1$ with the property that every holomorphic Legendrian map $\mathbb{C}\to \mathbb{C}^{2n+1}$ is constant. In particular, these contact structures are not globally contactomorphic to the standard complex contact structure on $\mathbb{C}^{2n+1}$.

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Franc Forstneric. 2016-07-18. Hyperbolic complex contact structures on $\mathbb{C}^{2n+1}$. https://doi.org/10.1007/s12220-017-9800-9

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