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2021 On Weakly Reflective Submanifolds in Compact Isotropy Irreducible Riemannian Homogeneous Spaces
Masahiro MORIMOTO
Tokyo J. Math. Advance Publication 1-10 (2021). DOI: 10.3836/tjm/1502179344

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.

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Masahiro MORIMOTO. "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

Information

Published: 2021
First available in Project Euclid: 26 August 2021

Digital Object Identifier: 10.3836/tjm/1502179344

Subjects:
Primary: 53C40

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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