13,954 research outputs found
Asymptotics of Invariant Metrics in the normal direction and a new characterisation of the unit disk
We give improvements of estimates of invariant metrics in the normal
direction on strictly pseudoconvex domains. Specifically we will give the
second term in the expansion of the metrics. This depends on an improved
localisation result and estimates in the one variable case. Finally we will
give a new characterisation of the unit disk in in terms of the
asymptotic behaviour of quotients of invariant metrics
A Fatou-Bieberbach domain in C^2 which is not Runge
We give an example of a Fatou-Bieberbach domain which is not Runge in C^2
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