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arXiv · 1201.5696

Harmonic tori in de Sitter spaces $S^{2n}_1$

Emma Carberry·Katharine Turner
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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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Emma Carberry, Katharine Turner. 2012-01-27. Harmonic tori in de Sitter spaces $S^{2n}_1$. https://arxiv.org/abs/1201.5696

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