On the set of complex points of a 2-sphere

Details On the set of complex points of a 2-sphere On the set of complex points of a 2-sphere

2007-06-28

arxiv.org/abs/0706.4230v1

Mathematics

Complex Variables

17 pages, 7 figures

Scientific paper

Let $G$ be a strictly pseudoconvex domain in $\mathbb{C}^2$ with
$C^\infty$-smooth boundary $\partial G$. Let $S$ be a 2-dimensional sphere
embedded into $\partial G$. Denote by $\mathcal{E}$ the set of all complex
points on $S$. We study how the structure of the set $\mathcal{E}$ depends on
the smoothness of $S$

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