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

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

2012-01-27

arxiv.org/abs/1201.5696v1

Mathematics

Differential Geometry

15 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Harmonic tori in de Sitter spaces $S^{2n}_1$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harmonic tori in de Sitter spaces $S^{2n}_1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic tori in de Sitter spaces $S^{2n}_1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-344146