Towards a Classification of Homogeneous Tube Domains in C^4

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dc.creatorEastwood, Michael
dc.creatorEzhov, Vladimir
dc.creatorIsaev, Alexander
dc.date2004-08-09
dc.date.accessioned2026-07-07T05:11:09Z
dc.date.available2026-07-07T05:11:09Z
dc.descriptionWe classify the tube domains in C^4 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 hypersurface. Using the geometry of these two hypersurfaces, we find the automorphism groups of the domains.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0408125
dc.identifierhttp://arxiv.org/abs/math/0408125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72148
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32M10; 32V15
dc.titleTowards a Classification of Homogeneous Tube Domains in C^4
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