A characterization of products of balls by their isotropy groups
dc.contributor.author | Hundemer, Axel | en_US |
dc.date.accessioned | 2006-09-08T19:47:28Z | |
dc.date.available | 2006-09-08T19:47:28Z | |
dc.date.issued | 1999-04 | en_US |
dc.identifier.citation | Hundemer, Axel; (1999). " A characterization of products of balls by their isotropy groups ." Mathematische Annalen 313(4): 585-607. <http://hdl.handle.net/2027.42/41931> | en_US |
dc.identifier.issn | 0025-5831 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41931 | |
dc.description.abstract | In this paper we will characterize products of balls – especially the ball and the polydisc – in by properties of the isotropy group of a single point. It will be shown that such a characterization is possible in the class of Siegel domains of the second kind, a class that extends the class of bounded homogeneous domains, and that such a characterization is no longer possible in the class of bounded domains with noncompact automorphism groups. The main result is that a Siegel domain of the second kind is biholomorphically equivalent to a product of balls, iff there is a point such that the isotropy group of p contains a torus of dimension n . As an application it will be proved that the only domains biholomorphically equivalent to a Siegel domain of the second kind and to a Reinhardt domain are exactly the domains biholomorphically equivalent to a product of b alls. | en_US |
dc.format.extent | 167191 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; Springer-Verlag Berlin Heidelberg | en_US |
dc.subject.other | Mathematics Subject Classification (1991): 32A07, 32M05, 32M15 | en_US |
dc.subject.other | Legacy | en_US |
dc.title | A characterization of products of balls by their isotropy groups | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, East Hall, Ann Arbor, MI 48109–1109, USA (e-mail: hundemer@math.lsa.umich.edu), US, | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41931/1/208-313-4-585_93130585.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s002080050273 | en_US |
dc.identifier.source | Mathematische Annalen | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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