On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces
Differential Geometry
2020-03-11 v1
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.
Keywords
Cite
@article{arxiv.2003.04674,
title = {On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces},
author = {Masahiro Morimoto},
journal= {arXiv preprint arXiv:2003.04674},
year = {2020}
}
Comments
8 pages