On a uniform estimate for the quaternionic Calabi problem

Details On a uniform estimate for the quaternionic Calabi problem On a uniform estimate for the quaternionic Calabi problem

2011-11-02

arxiv.org/abs/1111.0403v2

Mathematics

Complex Variables

14 pages

Scientific paper

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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