Properties of Fixed Point Sets and a Characterization of the Ball in ${\Bbb C}^n$

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dc.creatorFridman, Buma
dc.creatorMa, Daowei
dc.date2005-07-27
dc.date.accessioned2026-07-07T05:22:04Z
dc.date.available2026-07-07T05:22:04Z
dc.descriptionWe study the fixed point sets of holomorphic self-maps of a bounded domain in ${\Bbb C}^n$. Specifically we investigate the least number of fixed points in general position in the domain that forces any automorphism (or endomorphism) to be the identity. We have discovered that in terms of this number one can give the necessary and sufficient condition for the domain to be biholomorphic to the unit ball. Other theorems and examples generalize and complete previous results in this area, especially the recent work of Jean-Pierre Vigué.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0507574
dc.identifierhttp://arxiv.org/abs/math/0507574
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75919
dc.subjectComplex Variables
dc.subject32M05; 54H15
dc.titleProperties of Fixed Point Sets and a Characterization of the Ball in ${\Bbb C}^n$
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