Abstract
We give an example of a bounded, pseudoconvex, circular domain in Cℂn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in ℂ2, where the domain is bounded, non-pseudoconvex and such that the boundary is smooth real-analytic at all points except one and is C1,α-smooth at the exceptional point.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 609-617 |
| Number of pages | 9 |
| Journal | Mathematical Research Letters |
| Volume | 3 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1996 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Examples of domains with non-compact automorphism groups. / Fu, Siqi; Isaev, A. V.; Krantz, S. G.
In: Mathematical Research Letters, Vol. 3, No. 5, 01.01.1996, p. 609-617.Research output: Contribution to journal › Article
TY - JOUR
T1 - Examples of domains with non-compact automorphism groups
AU - Fu, Siqi
AU - Isaev, A. V.
AU - Krantz, S. G.
PY - 1996/1/1
Y1 - 1996/1/1
N2 - We give an example of a bounded, pseudoconvex, circular domain in Cℂn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in ℂ2, where the domain is bounded, non-pseudoconvex and such that the boundary is smooth real-analytic at all points except one and is C1,α-smooth at the exceptional point.
AB - We give an example of a bounded, pseudoconvex, circular domain in Cℂn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in ℂ2, where the domain is bounded, non-pseudoconvex and such that the boundary is smooth real-analytic at all points except one and is C1,α-smooth at the exceptional point.
UR - http://www.scopus.com/inward/record.url?scp=0030300553&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030300553&partnerID=8YFLogxK
U2 - 10.4310/MRL.1996.v3.n5.a4
DO - 10.4310/MRL.1996.v3.n5.a4
M3 - Article
AN - SCOPUS:0030300553
VL - 3
SP - 609
EP - 617
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 5
ER -