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math.DG2023
The parabolic quaternionic Monge-Ampère type equation on hyperKähler manifolds
Jixiang Fu, Xin Xu, Dekai Zhang
We prove the long time existence and uniqueness of solution to a parabolic quaternionic Monge-Ampère type equation on a compact hyperKähler manifold. We also show that after normal…
math.DG2023
The Monge-Ampère equation for -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 -quaternionic plurisubharmonic functions on a hyperKähler manifold and thus o…