• Citer

Stability under deformations of Hermite-Einstein almost Kähler metrics

par Lejmi, Mehdi
Référence Annales de l'Institut Fourier, 64, 6, page (2251-2263)
Publication Publié, 2014

Article révisé par les pairs

• Détails
• Contenu

Résumé :

On a 4-dimensional compact symplectic manifold, we consider a smooth family of compatible almost-complex structures such that at time zero the induced metric is Hermite-Einstein almost-Kähler metric with zero or negative Hermitian scalar curvature. We prove, under certain hypothesis, the existence of a smooth family of compatible almost-complex structures, diffeomorphic at each time to the initial one, and inducing constant Hermitian scalar curvature metrics.