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The Continuity Equation on Hopf and Inoue Surfaces

Authors :
Shen, Xi Sisi
Smith, Kevin
Source :
International Mathematics Research Notices.
Publication Year :
2023
Publisher :
Oxford University Press (OUP), 2023.

Abstract

We study the continuity equation of La Nave-Tian, extended to the Hermitian setting by Sherman-Weinkove, on Hopf and Inoue surfaces. We prove a priori estimates for solutions in both cases, and Gromov-Hausdorff convergence of Inoue surfaces to a circle.<br />15 pages

Details

ISSN :
16870247 and 10737928
Database :
OpenAIRE
Journal :
International Mathematics Research Notices
Accession number :
edsair.doi.dedup.....7c9e1528c5aee87e11ca92a8783db93a