The quaternionic Calabi Conjecture on abelian Hypercomplex Nilmanifolds Viewed as Tori Fibrations

DOI10.1093/IMRN/RNAB004zbMath1502.53080arXiv2006.05773OpenAlexW3135951667WikidataQ113819066 ScholiaQ113819066MaRDI QIDQ5082306

Luigi Vezzoni, Giovanni Gentili

Publication date: 16 June 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05773

zbMATH Keywords

nilmanifoldMonge-Ampère equationCalabi-Yau manifoldhypercomplex

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

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 ⋮ Solvability of a class of fully nonlinear elliptic equations on tori ⋮ On the Alesker-Verbitsky conjecture on hyperKähler manifolds

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