Some applications of bell’s theorem to weakly pseudoconvex domains

In this paper, we study some problems of holomorphic maps in weakly pseudoconvex domains. For example, we consider the boundary version of the rigidity properties both for automorphisms and for self-holomorphic maps, the existence of the interior fixed points for some automorphisms, and the minimal property of the rank of the Levi form at boundary orbit accumulation points of the automorphism groups.