Harmonic tori in De Sitter spaces S^{2n}_1 |
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| Authors: | Emma Carberry Katharine Turner |
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| Affiliation: | 1. School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia
2. Department of Mathematics, 5734 S. University Avenue, Chicago, IL, 60637, USA
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| Abstract: | We show that all superconformal harmonic immersions from genus one surfaces into de Sitter spaces $S^{2n}_{1}$ 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 $S^{3}$ without umbilic points can be constructed in this simple way. |
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