May 2023 Area estimates for high genus Lawson surfaces via DPW
Lynn Heller, Sebastian Heller, Martin Traizet
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J. Differential Geom. 124(1): 1-35 (May 2023). DOI: 10.4310/jdg/1685121318

Abstract

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces $\xi_{m,k}$ of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed m estimates on the area $\xi_{m,k}$ in terms of their genus $g = mk \gg 1$.

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Lynn Heller. Sebastian Heller. Martin Traizet. "Area estimates for high genus Lawson surfaces via DPW." J. Differential Geom. 124 (1) 1 - 35, May 2023. https://doi.org/10.4310/jdg/1685121318

Information

Received: 16 October 2019; Accepted: 9 September 2021; Published: May 2023
First available in Project Euclid: 26 May 2023

Digital Object Identifier: 10.4310/jdg/1685121318

Rights: Copyright © 2023 Lehigh University

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Vol.124 • No. 1 • May 2023
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