Harmonic tori in de Sitter spaces $S^{2n}_1$
Differential Geometry
2012-01-30 v1
Abstract
We show that all superconformal harmonic immersions from genus one surfaces into de Sitter spaces 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 without umbilic points can be constructed in this simple way.
Cite
@article{arxiv.1201.5696,
title = {Harmonic tori in de Sitter spaces $S^{2n}_1$},
author = {Emma Carberry and Katharine Turner},
journal= {arXiv preprint arXiv:1201.5696},
year = {2012}
}
Comments
15 pages