On Weakly Reflective Submanifolds in Compact Isotropy Irreducible Riemannian Homogeneous Spaces
نویسندگان
چکیده
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 PF Hilbert space. This extension author's previous result in case symmetric spaces. also give characterization so obtained submanifolds.
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2021
ISSN: ['0387-3870']
DOI: https://doi.org/10.3836/tjm/1502179344