Smooth Equivalence of Deformations of Domains in Complex Euclidean Spaces
Smooth Equivalence of Deformations of Domains in Complex Euclidean Spaces
We prove that two smooth families of 2-connected domains in $\cc$ are smoothly equivalent if they are equivalent under a possibly discontinuous family of biholomorphisms. We construct, for $m \geq 3$, two smooth families of smoothly bounded $m$-connected domains in $\cc$, and for $n\geq2$, two families of strictly pseudoconvex domains …