2004/08/09 by Michael Eastwood, Eastwood, Michael, Vladimir Ezhov +3
Mathematics · #32M10 #32V15 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #math.DG #msc:32M10 #msc:32V15
paper · pdf · doi:10.48550/arxiv.math/0408125
16 pages
arxiv created 2004/08/09 · openalex publication_date 2004/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 hypersurface. Using the geometry of these two hypersurfaces, we find the automorphism groups of the domains.