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https://hdl.handle.net/2440/34982
Type: | Journal article |
Title: | Towards a classification of homogeneous tube domains in C⁴ |
Other Titles: | Towards a classification of homogeneous tube domains in C(4) |
Author: | Eastwood, Michael George Ezhov, Vladimir V. Isaev, Alexander |
Citation: | Journal of Differential Geometry, 2004; 68 (3):553-569 |
Publisher: | Lehigh University |
Issue Date: | 2004 |
ISSN: | 0022-040X |
School/Discipline: | School of Mathematical Sciences : Pure Mathematics |
Statement of Responsibility: | M. Eastwood, V. Ezhov & A. Isaev |
Abstract: | We classify the tube domains in C4 with affinely homogeneous base whose boundary contains a non-degenerate affinely homogeneous hypersurface. It follows that these domains are holomorphically homogeneous and amongst them, there are four new examples of unbounded homogeneous domains (that do not have bounded realisations). These domains lie to either side of a pair of Levi-indefinite hypersurfaces. Using the geometry of these two hypersurfaces, we find the automorphism groups of the domains. |
Published version: | http://www.intlpress.com/JDG/p/2004/68_3/JDG-68-3-553_569.pdf |
Appears in Collections: | Pure Mathematics publications |
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