Tchebychev surfaces of S^3(1) with constant curvature functions

Abstract

We prove that Tchebychev surfaces of S3(1)\mathbb{S}^3(1) with constant mean curvature or with shape operator of constant squared length are isoparametric. We summarize our results in a survey of types of isoparametric and non-isoparametric Tchebychev surfaces

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