Open Access
January, 2011 The geometry of symmetric triad and orbit spaces of Hermann actions
Osamu IKAWA
J. Math. Soc. Japan 63(1): 79-136 (January, 2011). DOI: 10.2969/jmsj/06310079

Abstract

We introduce the notion of symmetric triad, which is a generalization of the notion of irreducible root system, and study its fundamental properties. Applying these results, we study the orbit spaces of Hermann actions on compact symmetric spaces.

Citation

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Osamu IKAWA. "The geometry of symmetric triad and orbit spaces of Hermann actions." J. Math. Soc. Japan 63 (1) 79 - 136, January, 2011. https://doi.org/10.2969/jmsj/06310079

Information

Published: January, 2011
First available in Project Euclid: 27 January 2011

zbMATH: 1213.53064
MathSciNet: MR2752433
Digital Object Identifier: 10.2969/jmsj/06310079

Subjects:
Primary: 53C35
Secondary: 17B22 , 53C40

Keywords: austere submanifold , Hermann action , symmetric triad

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 1 • January, 2011
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