Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(4): 1043-1049

Printed July 31, 2016

https://doi.org/10.4134/BKMS.b150506

Copyright © The Korean Mathematical Society.

A geometric approach to the study of automorphism groups

Steven G. Krantz

Washington University in St. Louis

Abstract

In this paper we study questions about automorphism groups of domains in $\mathbb C^n$, formulating the ideas entirely in terms of metric geometry. We also provide some applications.

Keywords: automorphism group, boundary orbit accumulation point, invariant metric, Kobayashi metric

MSC numbers: 32M05, 32M25, 32M99