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

Authors
  • Carberry, Emma
  • Turner, Katharine
Type
Preprint
Publication Date
Jan 26, 2012
Submission Date
Jan 26, 2012
Identifiers
arXiv ID: 1201.5696
Source
arXiv
License
Yellow
External links

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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