We show that for any weakly reflective submanifold of a compact isotropy irreducible Riemannian homogeneous space its inverse image under the parallel transport map is an infinite dimensional weakly reflective PF submanifold of a Hilbert space. This is an extension of the author's previous result in the case of compact irreducible Riemannian symmetric spaces. We also give a characterization of so obtained weakly reflective PF submanifolds.
"On Weakly Reflective Submanifolds in Compact Isotropy Irreducible Riemannian Homogeneous Spaces." Tokyo J. Math. Advance Publication 1 - 10, 2021. https://doi.org/10.3836/tjm/1502179344