Real and complex Monge-Ampère equations and the geometry of strictly convex domains (Q1066312)

In terms of solutions to the real and complex Monge-Ampère equations, the author determines several characterizations of those strictly convex domains in \({\mathbb{C}}^ n\) which are circular. The author uses these characterizations to determine some characterizations of the ball in \({\mathbb{C}}^ n\), and a classification of tube domains in \({\mathbb{C}}^ n\).