A \(C^0\) \textit{a priori} estimate for the quaternionic Monge-Ampère equation in almost hyperhermitian geometry

DOI10.1016/j.geomphys.2023.104916OpenAlexW4384700368MaRDI QIDQ6137697

Masaya Kawamura

Publication date: 4 September 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104916

zbMATH Keywords

almost complex structurequaternionic Monge-Ampère equationquasi-Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Cites Work

• Unnamed Item
• On a uniform estimate for the quaternionic Calabi problem
• Solvability of the quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric
• Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
• On Hermitian curvature flow on almost complex manifolds
• Hypercomplex structures on Kähler manifolds
• Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
• An almost complex Chern-Ricci flow
• 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
• Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
• Potentials for hyper-Kähler metrics with torsion
• A remark on the quaternionic Monge-Ampère equation on foliated manifolds
• On the Alesker-Verbitsky conjecture on hyperKähler manifolds

This page was built for publication: A \(C^0\) \textit{a priori} estimate for the quaternionic Monge-Ampère equation in almost hyperhermitian geometry