Embedded Weingarten tori in S^3
Differential Geometry
2014-02-24 v3
Abstract
In this paper, we show that an embedded Weingarten surface in S^3 of genus 1 must be rotationally symmetric, provided that certain structure conditions are satisfied. The argument involves an adaptation of our proof of Lawson's Conjecture for minimal tori.
Cite
@article{arxiv.1305.2881,
title = {Embedded Weingarten tori in S^3},
author = {S. Brendle},
journal= {arXiv preprint arXiv:1305.2881},
year = {2014}
}
Comments
final version, to appear in Adv. Math