Geodesic
Compact homogeneous Riemannian manifolds with low coindex of symmetry
Journal of the European Mathematical Society, Tome 19 (2017) no. 1, pp. 221-254.

Voir la notice de l'article provenant de la source EMS Press

We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the coindex of symmetry.We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose coindex of symmetry is less than or equal to three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.
DOI : 10.4171/jems/664
Classification : 53-XX
Keywords: Compact homogeneous manifolds, symmetric spaces, index of symmetry, Killing fields, polars, centrioles 
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     title = {Compact homogeneous {Riemannian} manifolds with low coindex of symmetry},
     journal = {Journal of the European Mathematical Society},
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Jürgen Berndt; Carlos Olmos; Silvio Reggiani. Compact homogeneous Riemannian manifolds with low coindex of symmetry. Journal of the European Mathematical Society, Tome 19 (2017) no. 1, pp. 221-254. doi : 10.4171/jems/664. http://geodesic.mathdoc.fr/articles/10.4171/jems/664/

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