On a uniform estimate for the quaternionic Calabi problem

Semyon Alesker; Egor Shelukhin

doi:10.1007/s11856-013-0003-1

On a uniform estimate for the quaternionic Calabi problem

Semyon Alesker^*, Egor Shelukhin

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	309-327
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	197
Issue number	1
DOIs	https://doi.org/10.1007/s11856-013-0003-1
State	Published - Oct 2013

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On a uniform estimate for the quaternionic Calabi problem

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