Gauduchon metrics with prescribed volume form

Gábor Székelyhidi, Valentino Tosatti, Ben Weinkove

Research output: Contribution to journalArticlepeer-review


We prove that on any compact complex manifold one can find Gauduchon metrics with prescribed volume form. This is equivalent to prescribing the Chern-Ricci curvature of the metrics, and thus solves a conjecture of Gauduchon from 1984.

Original languageEnglish (US)
Pages (from-to)181-211
Number of pages31
JournalActa Mathematica
Issue number1
StatePublished - Sep 2017

ASJC Scopus subject areas

  • General Mathematics


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