Classification des variétés approximativement kähleriennes homogènes
Résumé
We prove Gray & Wolf's conjecture that a Riemannian homogeneous manifold admitting a strict nearly Kahler structure is 3-symmetric. We actually classify them in dimension 6 and use previous results of Swann, Cleyton and Nagy to prove the conjecture in higher dimensions.
Domaines
Géométrie différentielle [math.DG]
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