Abstract
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.
Citation
Masahiro MORIMOTO. "On Weakly Reflective Submanifolds in Compact Isotropy Irreducible Riemannian Homogeneous Spaces." Tokyo J. Math. 44 (2) 467 - 476, December 2021. https://doi.org/10.3836/tjm/1502179344
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