On the set of complex points of a 2-sphere

Abstract

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 $S$

arXiv comment17 pages, 7 figures