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math.DG2013★ 1 cited
Compact homogeneous Riemannian manifolds with low co-index of symmetry
Jurgen Berndt, Carlos Olmos, Silvio Reggiani
We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the co-index of symmetry. We will then use these results to classify irreducible,…
math.DG2013★ 1 cited
The index of symmetry of compact naturally reductive spaces
Carlos Olmos, Silvio Reggiani, Hiroshi Tamaru
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way,…