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The continuity
equation of the Gauduchon metrics
Tao Zheng |
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Vol. 310 (2021), No. 2, 487–510
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DOI: 10.2140/pjm.2021.310.487
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Abstract |
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We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kähler metrics introduced by La Nave and Tian for and of the Hermitian metrics introduced by Sherman and Weinkove. Our method is based on the solution to the Gauduchon conjecture by Székelyhidi, Tosatti and Weinkove. |
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Keywords
continuity equation, Gauduchon metric, maximal time
existence, Chern–Ricci form
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Mathematical Subject Classification
Primary: 35J60, 53C55, 58J05
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Milestones
Received: 25 April 2020
Revised: 22 September 2020
Accepted: 9 December 2020
Published: 8 March 2021
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Authors |
| Tao Zheng | |
| School of Mathematics and
Statistics Beijing Institute of Technology Beijing China |
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