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Quaternionic Bott-Chern Cohomology and existence of HKT metrics

par Lejmi, Mehdi ;Weber, Patrick
Référence Quarterly Journal of Mathematics, 68, 3, page (705-728)
Publication Publié, 2017

Article révisé par les pairs

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Résumé :

We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a criterion for the existence of hyperkähler with torsion metrics on compact hypercomplex manifolds of real dimension 8 analogous to the one given by Teleman [34] and Angella et al. [3] for compact complex surfaces.