Geodesic
Righteous isometries of weakly symmetric spaces
Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 143-156 
O. S. Yakimova. Righteous isometries of weakly symmetric spaces. Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 143-156. http://geodesic.mathdoc.fr/item/SM_2002_193_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of a righteous diffeomorphism of a Riemannian manifold is introduced. A righteous diffeomorphism of a manifold $M$ defines a weakly symmetric structure on $M$. For weakly symmetric Riemannian manifolds that are homogeneous spaces of semisimple Lie groups a complete classification of righteous diffeomorphisms (isometries) is obtained.

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