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.
"A Sufficient Condition for Orbits of Hermann Actions to be Weakly Reflective." Tokyo J. Math. 39 (2) 537 - 564, December 2016. https://doi.org/10.3836/tjm/1484903136