Geodesic
Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images
Chifune Kai1
1Dept. of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 47-56

Voir la notice de l'article provenant de la source Heldermann Verlag

We characterize symmetric Siegel domains among quasisymmetric Siegel domains by means of the Cayley transform introduced by Dorfmeister. We show that a quasisymmetric Siegel domain is symmetric if and only if its Cayley transform image is convex.
Classification : 32M15, 32H02, 43A85
Mots-clés : Quasisymmetric Siegel domain, symmetric Siegel domain, Cayley transform, Jordan algebra

Chifune Kai  1

1 Dept. of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan 
Chifune Kai. Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images. Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 47-56. http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a3/
@article{JOLT_2006_16_1_a3,
     author = {Chifune Kai},
     title = {Symmetry {Characterization} of {Quasisymmetric} {Siegel} {Domains} by {Convexity} of {Cayley} {Transform} {Images}},
     journal = {Journal of Lie Theory},
     pages = {47--56},
     year = {2006},
     volume = {16},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a3/}
}
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