The $C^0$ estimate for the quaternionic Calabi conjecture

Abstract

We prove the $C^0$ estimate for the quaternionic Monge-Ampère equation on compact hyperKähler with torsion manifolds. Our goal is to provide a simpler proof than the one presented by Alesker and Shelukhin.

main theorem improved, final version, to appear in Adv. Math

Cited by in corpus (2)

• On the Alesker-Verbitsky conjecture on hyperKähler manifolds
• Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds