TL;DR
This paper studies CR mappings that remain unchanged under certain subgroup actions of U(n) and investigates conditions under which these mappings do not exhibit rigidity, revealing limitations of existing rigidity results.
Contribution
It introduces new invariance conditions for CR mappings under subgroup actions and demonstrates cases where rigidity fails.
Findings
CR mappings invariant under subgroup actions of U(n) are characterized.
Rigidity of CR mappings can fail under certain invariance conditions.
The paper provides examples and theoretical results on the failure of rigidity.
Abstract
We summarize some work on CR mappings invariant under a subgroup of U(n) and prove a result on the failure of rigidity.
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Taxonomy
TopicsHolomorphic and Operator Theory