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تسجيل مستخدم جديدThe quaternionic Calabi conjecture on abelian hypercomplex nilmanifolds viewed as tori fibrations
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We study the quaternionic Calabi-Yau problem in HKT geometry introduced by Alesker and Verbitsky on 8-dimensional 2-step nilmanifolds with an abelian hypercomplex structure. We show that the quaternionic Monge-Amp`ere equation on these manifolds can always be solved for every data which is invariant by the action of a 3-dimensional torus.
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