The $C^0$ estimate for the quaternionic Calabi conjecture
Analysis of PDEs
2021-05-21 v2 Differential Geometry
Abstract
We prove the estimate for the quaternionic Monge-Amp\`ere equation on compact hyperK\"ahler with torsion manifolds. Our goal is to provide a simpler proof than the one presented by Alesker and Shelukhin.
Cite
@article{arxiv.1906.04443,
title = {The $C^0$ estimate for the quaternionic Calabi conjecture},
author = {Marcin Sroka},
journal= {arXiv preprint arXiv:1906.04443},
year = {2021}
}
Comments
main theorem improved, final version, to appear in Adv. Math