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arXiv · 1111.0403

On a uniform estimate for the quaternionic Calabi problem

Semyon Alesker·Egor Shelukhin
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Abstract

We establish a C^0 a priori bound on the solutions of the quaternionic Calabi-Yau equation (of Monge-Ampere type) on compact HKT manifolds with a locally flat hypercomplex structure. As an intermediate step, we prove a quaternionic version of the Gauduchon theorem.

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Semyon Alesker, Egor Shelukhin. 2011-11-02. On a uniform estimate for the quaternionic Calabi problem. https://arxiv.org/abs/1111.0403

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