## Tokyo Journal of Mathematics

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

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

#### 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