English

Willmore tori in the 4-sphere with nontrivial normal bundle

Differential Geometry 2007-05-23 v1

Abstract

We characterize Willmore tori in the 4-sphere with nontrivial normal bundle as Twistor projections of elliptic curves in complex projective space or as inverted minimal tori (with planar ends) in Euclidean 4-space.

Keywords

Cite

@article{arxiv.math/0312421,
  title  = {Willmore tori in the 4-sphere with nontrivial normal bundle},
  author = {K. Leschke and F. Pedit and U. Pinkall},
  journal= {arXiv preprint arXiv:math/0312421},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T17:01:02.643Z