Sequences of Willmore surfaces
微分几何
2008-06-10 v1
摘要
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore surface either is the twistor projection of a holomorphic curve into complex projective space or the inversion of a minimal surface with planar ends in 4-space. These results give a unified explanation of previous work on the characterization of Willmore spheres and Willmore tori with non-trivial normal bundles by various authors.
引用
@article{arxiv.math/0610648,
title = {Sequences of Willmore surfaces},
author = {K. Leschke and F. Pedit},
journal= {arXiv preprint arXiv:math/0610648},
year = {2008}
}
备注
10 pages