Existence of HKT metrics on hypercomplex manifolds of real dimension 8

DOI10.1016/j.aim.2017.09.020zbMath1390.53046arXiv1409.3280OpenAlexW1654754417WikidataQ124820537 ScholiaQ124820537MaRDI QIDQ2411353

Mehdi Lejmi, Gueo Grantcharov, Misha Verbitsky

Publication date: 20 October 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3280

zbMATH Keywords

HKT manifoldshypercomplex geometryhyper-Kähler with torsion metricsquaternionic \(dd^c\)-lemmaquaternionic Gauduchon metrics

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (6)

A remark on the quaternionic Monge-Ampère equation on foliated manifolds ⋮ Fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric ⋮ A parabolic approach to the Calabi-Yau problem in HKT geometry ⋮ Hypercomplex almost abelian solvmanifolds ⋮ The \(C^0\) estimate for the quaternionic Calabi conjecture ⋮ Poisson structures on twistor spaces of hyperkähler and HKT manifolds

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