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arXiv · 1503.04491

Gauduchon metrics with prescribed volume form

Gábor Székelyhidi·Valentino Tosatti·Ben Weinkove
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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.

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Gábor Székelyhidi, Valentino Tosatti, Ben Weinkove. 2015-03-16. Gauduchon metrics with prescribed volume form. https://doi.org/10.4310/acta.2017.v219.n1.a6

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