تقرير
The quaternionic Calabi conjecture on abelian hypercomplex nilmanifolds viewed as tori fibrations
| العنوان: | The quaternionic Calabi conjecture on abelian hypercomplex nilmanifolds viewed as tori fibrations |
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| المؤلفون: | Gentili, Giovanni, Vezzoni, Luigi |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | 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. Comment: 20 pages, to appear in IMRN |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.05773 |
| رقم الأكسشن: | edsarx.2006.05773 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |