A remark on the quaternionic Monge-Ampère equation on foliated manifolds
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Publication:5060368
DOI10.1090/proc/16121OpenAlexW3207660910MaRDI QIDQ5060368
Giovanni Gentili, Luigi Vezzoni
Publication date: 10 January 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05978
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Foliations (differential geometric aspects) (53C12) Complex Monge-Ampère operators (32W20)
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Cites Work
- Unnamed Item
- Homogeneous hypercomplex structures. I: The compact Lie groups
- Solvability of the quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric
- Homogeneous hyper-complex structures and the Joyce's construction
- Twisting Hermitian and hypercomplex geometries
- Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
- Compact hypercomplex and quaternionic manifolds
- Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
- Geometry of hyper-Kähler connections with torsion
- Twistor spaces for hyper-Kähler manifolds with torsion
- Fully non-linear elliptic equations on compact Hermitian manifolds
- Properties of manifolds with skew-symmetric torsion and special holonomy
- Hyper-Kähler manifolds with torsion, supersymmetry and Hodge theory.
- A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)
- A parabolic approach to the Calabi-Yau problem in HKT geometry
- The \(C^0\) estimate for the quaternionic Calabi conjecture
- Existence of HKT metrics on hypercomplex manifolds of real dimension 8
- Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry
- On uniform estimate in Calabi-Yau theorem
- Linear and quasilinear elliptic equations
- HKT Manifolds with Holonomy SL(n,H)
- Potentials for hyper-Kähler metrics with torsion
- Elliptic Partial Differential Equations of Second Order
- The quaternionic Calabi Conjecture on abelian Hypercomplex Nilmanifolds Viewed as Tori Fibrations
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