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arXiv · 1703.05555

The index of compact simple Lie groups

Jurgen Berndt·Carlos Olmos
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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).

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Jurgen Berndt, Carlos Olmos. 2017-03-16. The index of compact simple Lie groups. https://doi.org/10.1112/blms.12081

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