A characterization of symmetric tube domains by convexity of Cayley transform images

DOI10.1016/J.DIFGEO.2005.03.004zbMath1075.43008OpenAlexW2017164606WikidataQ115357969 ScholiaQ115357969MaRDI QIDQ2486075

Takaaki Nomura, Chifune Kai

Publication date: 5 August 2005

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2005.03.004

zbMATH Keywords

convexityCayley transformclanhomogeneous tube domain

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Homogeneous complex manifolds (32M10)

Related Items (3)

Some remarks and problems on complex homogeneous domains ⋮ A characterization of symmetric Siegel domains by convexity of Cayley transformation images ⋮ Takaaki Nomura: a prominent figure of the Tunisia-Japan cooperation

Cites Work

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• Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms
• A characterization of symmetric cones through pseudoinverse maps
• Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains
• Realization of Hermitian symmetric spaces as generalized half-planes
• Quasisymmetric Siegel Domains and the Automorphisms of Homogeneous Siegel Domains
• A characterization of symmetric Siegel domains through a Cayley transform

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