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arxiv: 1111.0403 · v3 · pith:R5AWDXRHnew · submitted 2011-11-02 · 🧮 math.CV · math.AP

On a uniform estimate for the quaternionic Calabi problem

classification 🧮 math.CV math.AP
keywords quaternionicboundcalabicalabi-yaucompactequationestablishestimate
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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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