A remark on the quaternionic Monge-Ampère equation on foliated manifolds
arXiv:2110.05978
Abstract
We study the quaternionic Monge-Ampère equation on HKT manifolds admitting an HKT foliation having corank 4. We show that in this setting the quaternionic Monge-Ampère equation has always a unique solution for every basic datum. This approach includes the study of the equation on SU(3).
12 pages, last version to appear in Proc. Amer. Math. Soc