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arXiv · 1605.07117

Quaternionic Bott-Chern cohomology and existence of HKT metrics

Mehdi Lejmi·Patrick Weber
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Abstract

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 HKT metrics on compact hypercomplex manifolds of real dimension 8 analogous to the one given by Teleman [35] and Angella-Dloussky-Tomassini [3] for compact complex surfaces.

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Mehdi Lejmi, Patrick Weber. 2016-05-23. Quaternionic Bott-Chern cohomology and existence of HKT metrics. https://doi.org/10.1093/qmath%2Fhaw060

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