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The Continuity Equation of the Gauduchon Metrics

Differential Geometry 2020-04-15 v1

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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Cite

@article{arxiv.2004.06335,
  title  = {The Continuity Equation of the Gauduchon Metrics},
  author = {Tao Zheng},
  journal= {arXiv preprint arXiv:2004.06335},
  year   = {2020}
}

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15pages