On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces

10 Mar 2020 Morimoto Masahiro

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... (read more)

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  • DIFFERENTIAL GEOMETRY