The coindex of symmetry

Jurgen Berndt, Kings College London. Geometry seminar

The coindex of symmetry is a geometric invariant that measures in how far a homogeonous Riemannian manifold fails to be a Rimannian symmetric space. We discuss some examples, some general structure theory for compact homogenous Riemannian manifolds in relation to this invariant, and classificiations for small coindex of symmetry. This is joint work with Carlos Olmos (Cordoba) and Silvio Reggiani (Rosario).

Jurgen Berndt, Kings College London