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Geometric properties of semitube domains
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Łukasz Kosinski
,
Tomasz Warszawski
Published/Copyright:
April 3, 2015
Abstract
We study the geometry of semitube domains in ℂ2, in particular we extend the result of Burgués and Dwilewicz for semitube domains by dropping the smoothness assumption. We also prove various properties of non-smooth pseudoconvex semitube domains, obtaining a relation between pseudoconvexity of a semitube domain and the number of components of its vertical slices. Finally, we present an example of a non-convex domain in ℂn such that its image under arbitrary isometries is pseudoconvex.
Received: 2013-7-31
Published Online: 2015-4-3
Published in Print: 2015-4-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Division algebras and transitivity of group actions on buildings
- Projections of del Pezzo surfaces and Calabi–Yau threefolds
- Almost soliton duality
- Remarks on Kähler–Ricci solitons
- Real solutions to systems of polynomial equations and parameter continuation
- Division pairs: a new approach to Moufang sets
- Very special divisors on 4-gonal real algebraic curves
- On the intersection of a Hermitian surface with an elliptic quadric
- Geometric properties of semitube domains
- Threefolds in ℙ6 of degree 12
Keywords for this article
Semitube domains;
Hartogs-Laurent domains;
Bochner’s theorem;
multisubharmonic functions
Articles in the same Issue
- Frontmatter
- Division algebras and transitivity of group actions on buildings
- Projections of del Pezzo surfaces and Calabi–Yau threefolds
- Almost soliton duality
- Remarks on Kähler–Ricci solitons
- Real solutions to systems of polynomial equations and parameter continuation
- Division pairs: a new approach to Moufang sets
- Very special divisors on 4-gonal real algebraic curves
- On the intersection of a Hermitian surface with an elliptic quadric
- Geometric properties of semitube domains
- Threefolds in ℙ6 of degree 12
