Area Estimates for High genus Lawson surfaces via DPW
Differential Geometry
2021-09-13 v2
Abstract
Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed estimates on the area of in terms of their genus .
Keywords
Cite
@article{arxiv.1907.07139,
title = {Area Estimates for High genus Lawson surfaces via DPW},
author = {Lynn Heller and Sebastian Heller and Martin Traizet},
journal= {arXiv preprint arXiv:1907.07139},
year = {2021}
}
Comments
33 pages, 2 figures, accepted for publication in Journal of Differential Geometry