The Monge-Ampère equation for $(n-1)$-quaternionic PSH functions on a hyperKähler manifold

Jixiang Fu, Xin Xu, Dekai Zhang

We prove the existence of unique smooth solutions to the quaternionic Monge-Ampère equation for $(n-1)$-quaternionic plurisubharmonic functions on a hyperKähler manifold and thus o…