On the automorphism groups of convex domains in C-n
SCIE
SCOPUS
- Title
- On the automorphism groups of convex domains in C-n
- Authors
- Kim, KT
- Date Issued
- 2004-01
- Publisher
- WALTER DE GRUYTER & CO
- Abstract
- We establish that every bounded convex domain in C-n with an automorphism orbit accumulation at a boundary point at which the domain has a sphere contact from inside admits a non-compact 1-parameter subgroup of automorphisms. Notice that this in particular implies that no Teichmuller domain of a Riemann surface of genus g > 1 can be holomorphically imbedded as a convex domain in C3g-3.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29753
- DOI
- 10.1515/advg.2004.005
- ISSN
- 1615-715X
- Article Type
- Article
- Citation
- ADVANCES IN GEOMETRY, vol. 4, no. 1, page. 33 - 40, 2004-01
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