The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain

The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain

We study the Hilbert geometry induced by the Siegel disk domain, an open-bounded convex set of complex square matrices of operator norm strictly less than one. This Hilbert geometry yields a generalization of the Klein disk model of hyperbolic geometry, henceforth called the Siegel–Klein disk model...

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Bibliographic Details
Main Author: Frank Nielsen
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Entropy
Subjects:
hyperbolic geometry
symmetric positive-definite matrix manifold
symplectic group
Siegel upper space domain
Siegel disk domain
Hilbert geometry
Online Access:https://www.mdpi.com/1099-4300/22/9/1019

Internet

https://www.mdpi.com/1099-4300/22/9/1019

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