Search: onr:"swepub:oai:DiVA.org:miun-3420" >
Non-equivalent embe...
Non-equivalent embeddings into complex Euclidean spaces
-
- Borell, Stefan (author)
- Mittuniversitetet,Institutionen för teknik, fysik och matematik (-2008)
-
- Kutzschebauch, Frank (author)
- Mittuniversitetet,Institutionen för teknik, fysik och matematik (-2008)
-
(creator_code:org_t)
- 2006
- 2006
- English.
-
In: International Journal of Mathematics. - 0129-167X. ; 17:9, s. 1033-1046
- Related links:
-
https://urn.kb.se/re...
-
show more...
-
https://doi.org/10.1...
-
show less...
Abstract
Subject headings
Close
- We study the number of equivalence classes of proper holomorphic embeddings of a Stein space X into C-n. In this paper we prove that if the automorphism. group of X is a Lie group and there exists a proper holomorphic embedding of X into C-n, 0 < dim X < n, then for any k >= 0 there exist uncountably many non-equivalent proper holomorphic embeddings Φ: X x C-k hooked right arrow C-n x C-k. For k = 0 all embeddings will be proved to satisfy the additional property of C-n\Φ)(X) being (n-dim X)-Eisenman hyperbolic. As a corollary we conclude that there are uncountably many non-equivalent proper holomorphic embeddings of C-k into C-n whenever 0 < k < n.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- proper holomorphic embeddings
- hyperbolicity
- Eisenman
- complex analysis
- MATHEMATICS
- MATEMATIK
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
To the university's database