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arXiv · 2609.21528

Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds

Giovanni Gentili·Antonio Trusiani·Luigi Vezzoni
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Abstract

We prove that on a compact locally flat HKT manifold the quaternionic Monge--Ampère equation always has a unique continuous solution. This provides new evidence for the Conjecture of Alesker and Verbitsky.

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Giovanni Gentili, Antonio Trusiani, Luigi Vezzoni. 2026-09-18. Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds. https://arxiv.org/abs/2609.21528

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