On a uniform estimate for the quaternionic Calabi problem

Semyon Alesker*, Egor Shelukhin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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 languageEnglish
Pages (from-to)309-327
Number of pages19
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Oct 2013


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