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The Continuity Equation of the Gauduchon Metrics
Published 14 Apr 2020 in math.DG | (2004.06335v1)
Abstract: We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the K\"ahler metrics introduced by La Nave & Tian for and of the Hermitian metrics introduced by Sherman & Weinkove. Our method is based on the solution to the Gauduchon conjecture by Sz\'ekelyhidi, Tosatti & Weinkove.
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