Topological/Geometric Properties of the Orbit Accumulation Set
Steven G. Krantz
TL;DR
This paper investigates the boundary orbit accumulation points of automorphism groups acting on bounded complex domains, revealing their topological and geometric characteristics.
Contribution
It provides new insights into the topological and geometric structure of the orbit accumulation set in complex analysis.
Findings
Characterized the topological properties of the orbit accumulation set
Analyzed the geometric structure of boundary orbit accumulation points
Derived implications for automorphism group actions on complex domains
Abstract
We study the set of boundary orbit accumulation points of the automorphism group action on a bounded domain in . Topological and geometric properties of this set are derived.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Mathematical Dynamics and Fractals