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

Chifune Kai, Takaaki Nomura

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抄録

In this paper, we show that a homogeneous tube domain is symmetric if and only if its Cayley transform image as well as the dual Cayley transform image of the dual tube domain is convex. In this case, the parameters of these Cayley transforms reduce to specific ones, so that they are essentially the usual Cayley transforms defined in terms of Jordan algebra structure.

元の言語英語
ページ(範囲)38-54
ページ数17
ジャーナルDifferential Geometry and its Application
23
発行部数1
DOI
出版物ステータス出版済み - 7 1 2005

Fingerprint

Cayley Transform
Algebra
Convexity
Tube
Jordan Algebra
If and only if

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

これを引用

A characterization of symmetric tube domains by convexity of Cayley transform images. / Kai, Chifune; Nomura, Takaaki.

:: Differential Geometry and its Application, 巻 23, 番号 1, 01.07.2005, p. 38-54.

研究成果: ジャーナルへの寄稿記事

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