A remark on the quaternionic Monge-Amp\`ere equation on foliated manifolds
Abstract
We study the quaternionic Monge-Amp\`ere equation on HKT manifolds admitting an HKT foliation having corank 4. We show that in this setting the quaternionic Monge-Amp\`ere equation has always a unique solution for every basic datum. This approach includes the study of the equation on SU(3).
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