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

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概要

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• 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 Koranyi and Wolf.

• 東北大学の論文

著者

• Kai Chifune

  Department of Mathematics, Faculty of Science Kyoto University

• Kai Chifune

  Department of Mathematics, Faculty of Science, Kyoto University

関連論文

• A characterization of symmetric cones through pseudoinverse maps
• A characterization of symmetric Siegel domains by convexity of Cayley transform images

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