Embedded Weingarten tori in S³

2013/05/13 by S. Brendle, Brendle, S. · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1305.2881

final version, to appear in Adv. Math

arxiv created 2014/02/20 · arxiv updated 2014/02/24

Abstract

In this paper, we show that an embedded Weingarten surface in S³ 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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