Infinite dimensional Riemannian symmetric spaces with fixed-sign curvature operator
Résumé
We associate to any Riemannian symmetric space (of finite or infinite dimension) a L∗-algebra, under the assumption that the curvature operator has a fixed sign. L∗- algebras are Lie algebras with a pleasant Hilbert space structure. The L∗-algebra that we construct, is a complete local isomorphism invariant and allows us to classify Riemannian symmetric spaces with fixed-sign curvature operator. The case of nonpositive curvature is emphasized
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)