Contents Online
Methods and Applications of Analysis
Volume 21 (2014)
Number 4
Special issue dedicated to the 60th birthday of Stephen S.-T. Yau: Part II
Guest editors: John Erik Fornæss, Xiaojun Huang, Song-Ying Li, Yat Sun Poon, Wing Shing Wong, and Zhouping Xin
On boundary accumulation points of a convex domain in $\mathbb{C}^n$
Pages: 427 – 440
DOI: https://dx.doi.org/10.4310/MAA.2014.v21.n4.a2
Authors
Abstract
In this paper we show that, for a smoothly bounded convex domain $\Omega \subset \mathbb{C}^n$, if there is $\{ \phi_j \} \subset \mathrm{Aut}(\Omega)$ such that $\phi_j (z)$ converges to some boundary point non-tangentially for all $z \in \Omega$, then there does not exist a non-trivial analytic disc on $\partial \Omega$ through any boundary orbit accumulation points.
Keywords
automorphism group, convex domains, invariant metrics/measures
2010 Mathematics Subject Classification
32F18, 32F45
Published 9 October 2014