Holomorphic family of strongly pseudoconvex domains in a Kähler manifold

Young-Jun Choi, Sungmin Yoo

Let $p:X\to Y$ be a surjective holomorphic mapping between Kähler manifolds. Let $D$ be a bounded smooth domain in $X$ such that every generic fiber $D_y:=D\cap p^{-1}(y)$…