A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet) (1502.02267v3)

Published 8 Feb 2015 in math.AP and math.DG

Abstract: We prove a $C^0$ a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier works where this result was proven under certain extra assumptions on the manifold.

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