Before revision:  This Hilbert geometry yields a generalization of the Klein disk model of hyperbolic geometry, which we term the Siegel-Klein disk model to differentiate it with the classic Siegel upper plane and disk domains.
After revision:  This Hilbert geometry yields a generalization of the Klein disk model of hyperbolic geometry, henceforth called the Siegel-Klein disk model to differentiate it with the classic Siegel upper plane and disk domains.