The continuity equation on Hopf and Inoue surfaces

Xi Sisi Shen; Kevin Smith

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arXiv · 2209.05473

The continuity equation on Hopf and Inoue surfaces

Xi Sisi Shen·Kevin Smith

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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.

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Xi Sisi Shen, Kevin Smith. 2022-09-12. The continuity equation on Hopf and Inoue surfaces. https://arxiv.org/abs/2209.05473

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