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arXiv:2004.06335 [math.DG]AbstractReferencesReviewsResources

The Continuity Equation of the Gauduchon Metrics

Tao Zheng

Published 2020-04-14Version 1

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.

Comments: 15pages
Categories: math.DG
Subjects: 53C55, 35J60, 32W20, 58J05
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