Fano manifolds with nef tangent bundles are weakly almost Kähler-Einstein
Résumé
The goal of this short note is to point out that every Fano manifold with a nef tangent bundle possesses an almost Kähler-Einstein metric, in a weak sense. The technique relies on a regularization theorem for closed positive (1, 1)-currents. We also discuss related semistability questions and Chern inequalities.
Domaines
Variables complexes [math.CV]
Origine : Fichiers produits par l'(les) auteur(s)
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