On a uniform estimate for the quaternionic Calabi problem (1111.0403v3)

Published 2 Nov 2011 in math.CV and math.AP

Abstract: We establish a C⁰ 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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