Harmonic tori in De Sitter spaces S2n1

Carberry, Emma; Turner, Katharine

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Harmonic tori in De Sitter spaces S2n1

Date

2014

Authors

Carberry, Emma

Turner, Katharine

Abstract

We show that all superconformal harmonic immersions from genus one surfaces into de Sitter spaces S2n1 with globally defined harmonic sequence are of finite-type and hence result merely from solving a pair of ordinary differential equations. As an application, we prove that all Willmore tori in S3 without umbilic points can be constructed in this simple way.