Gauduchon metrics with prescribed volume form

Gábor Székelyhidi; Valentino Tosatti; Ben Weinkove

doi:10.4310/ACTA.2017.v219.n1.a6

Gauduchon metrics with prescribed volume form

Gábor Székelyhidi, Valentino Tosatti, Ben Weinkove

Mathematics

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

Abstract

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 language	English (US)
Pages (from-to)	181-211
Number of pages	31
Journal	Acta Mathematica
Volume	219
Issue number	1
DOIs	https://doi.org/10.4310/ACTA.2017.v219.n1.a6
State	Published - Sep 2017

ASJC Scopus subject areas

General Mathematics

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10.4310/ACTA.2017.v219.n1.a6

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Gauduchon metrics with prescribed volume form

Abstract

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