The index of compact simple Lie groups

Published 16 Mar 2017 in math.DG | (1703.05555v1)

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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