English

Weakly reflective submanifolds and austere submanifolds

Differential Geometry 2007-05-23 v1

Abstract

We introduce the notion of a weakly reflective submanifold, which is an austere submanifold with a certain global condition, and study its fundamental properties. Using these, we determine weakly reflective orbits and austere orbits of s-representations.

Keywords

Cite

@article{arxiv.math/0612384,
  title  = {Weakly reflective submanifolds and austere submanifolds},
  author = {Osamu Ikawa and Takashi Sakai and Hiroyuki Tasaki},
  journal= {arXiv preprint arXiv:math/0612384},
  year   = {2007}
}

Comments

30 pages

R2 v1 2026-07-22T17:47:48.770Z