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The Continuity Equation on Hopf and Inoue Surfaces
- 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