Tokyo Journal of Mathematics

A Sufficient Condition for Orbits of Hermann Actions to be Weakly Reflective

Shinji OHNO

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Abstract

In this paper, we give sufficient conditions for orbits of Hermann actions to be weakly reflective in terms of symmetric triads, that is a generalization of irreducible root systems. Using these sufficient conditions, we obtain new examples of weakly reflective submanifolds in compact symmetric spaces.

Article information

Source
Tokyo J. Math., Volume 39, Number 2 (2016), 537-564.

Dates
First available in Project Euclid: 20 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1484903136

Digital Object Identifier
doi:10.3836/tjm/1484903136

Mathematical Reviews number (MathSciNet)
MR3599508

Zentralblatt MATH identifier
1373.53071

Subjects
Primary: 53C35: Symmetric spaces [See also 32M15, 57T15]
Secondary: 53C40: Global submanifolds [See also 53B25]

Citation

OHNO, Shinji. A Sufficient Condition for Orbits of Hermann Actions to be Weakly Reflective. Tokyo J. Math. 39 (2016), no. 2, 537--564. doi:10.3836/tjm/1484903136. https://projecteuclid.org/euclid.tjm/1484903136


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References

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