Examples of domains with non-compact automorphism groups

Siqi Fu; A. V. Isaev; S. G. Krantz

doi:10.4310/MRL.1996.v3.n5.a4

Examples of domains with non-compact automorphism groups

Siqi Fu, A. V. Isaev, S. G. Krantz

Research output: Contribution to journal › Article

9 Scopus citations

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 C^1,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	https://doi.org/10.4310/MRL.1996.v3.n5.a4
State	Published - Jan 1 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.4310/MRL.1996.v3.n5.a4

Fingerprint Dive into the research topics of 'Examples of domains with non-compact automorphism groups'. Together they form a unique fingerprint.

Cite this

Fu, S., Isaev, A. V., & Krantz, S. G. (1996). Examples of domains with non-compact automorphism groups. Mathematical Research Letters, 3(5), 609-617. https://doi.org/10.4310/MRL.1996.v3.n5.a4

@article{11997ca9fde647d68361ca62dfce8e81,

title = "Examples of domains with non-compact automorphism groups",

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.",

author = "Siqi Fu and Isaev, {A. V.} and Krantz, {S. G.}",

year = "1996",

month = jan,

day = "1",

doi = "10.4310/MRL.1996.v3.n5.a4",

language = "English (US)",

volume = "3",

pages = "609--617",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "5",

}

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 -