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arXiv · 1305.2881

Embedded Weingarten tori in S^3

S. Brendle
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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.

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S. Brendle. 2013-05-13. Embedded Weingarten tori in S^3. https://arxiv.org/abs/1305.2881

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