The index of compact simple Lie groups
Differential Geometry
2017-08-30 v1
Abstract
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all irreducible Riemannian symmetric spaces M of type (II) and (IV).
Cite
@article{arxiv.1703.05555,
title = {The index of compact simple Lie groups},
author = {Jurgen Berndt and Carlos Olmos},
journal= {arXiv preprint arXiv:1703.05555},
year = {2017}
}
Comments
5 pages