SwePub
Sök i LIBRIS databas

  Extended search

onr:"swepub:oai:DiVA.org:miun-3420"
 

Search: onr:"swepub:oai:DiVA.org:miun-3420" > Non-equivalent embe...

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

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
  • Journal article (peer-reviewed)
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

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

Find more in SwePub

By the author/editor
Borell, Stefan
Kutzschebauch, F ...
About the subject
NATURAL SCIENCES
NATURAL SCIENCES
and Mathematics
Articles in the publication
International Jo ...
By the university
Mid Sweden University

Search outside SwePub

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Close

Copy and save the link in order to return to this view