Open Access
Nov 2004 Towards a Classification of Homogeneous Tube Domains in ℂ4
Michael Eastwood, Vladimir Ezhov, Alexander Isaev
J. Differential Geom. 68(3): 553-569 (Nov 2004). DOI: 10.4310/jdg/1115669596


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.


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Michael Eastwood. Vladimir Ezhov. Alexander Isaev. "Towards a Classification of Homogeneous Tube Domains in ℂ4." J. Differential Geom. 68 (3) 553 - 569, Nov 2004.


Published: Nov 2004
First available in Project Euclid: 9 May 2005

zbMATH: 1082.32015
MathSciNet: MR2144542
Digital Object Identifier: 10.4310/jdg/1115669596

Rights: Copyright © 2004 Lehigh University

Vol.68 • No. 3 • Nov 2004
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