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arXiv · 2110.05978

A remark on the quaternionic Monge-Amp\`ere equation on foliated manifolds

Giovanni Gentili·Luigi Vezzoni
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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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Giovanni Gentili, Luigi Vezzoni. 2021-10-12. A remark on the quaternionic Monge-Amp\`ere equation on foliated manifolds. https://arxiv.org/abs/2110.05978

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