Abstract
We show that a homogeneous Siegel domain is symmetric if and only if its Cayley transform image is convex. Moreover, this convexity forces the parameter of the Cayley transform to be specific, so that the Cayley transform coincides with the inverse of the Cayley transform introduced by Korányi and Wolf.
Citation
Chifune Kai. "A characterization of symmetric Siegel domains by convexity of Cayley transform images." Tohoku Math. J. (2) 59 (1) 101 - 118, 2007. https://doi.org/10.2748/tmj/1176734750
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