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The continuity equation on Hopf and Inoue surfaces

Authors :
Shen, Xi Sisi
Smith, Kevin
Publication Year :
2022

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 />Comment: 15 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.05473
Document Type :
Working Paper