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Gauduchon metrics with prescribed volume form

Published 16 Mar 2015 in math.DG, math.AP, and math.CV | (1503.04491v2)

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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