Isothermic constrained Willmore tori in 3-space
Differential Geometry
2022-03-03 v1
Abstract
We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below . In particular, every constrained Willmore torus with Willmore energy below and non-rectangular conformal class is non-degenerated.
Keywords
Cite
@article{arxiv.1903.11823,
title = {Isothermic constrained Willmore tori in 3-space},
author = {Lynn Heller and Sebastian Heller and Cheikh Birahim Ndiaye},
journal= {arXiv preprint arXiv:1903.11823},
year = {2022}
}
Comments
19 pages, 2 figures, originally Section 3 of arXiv:1901.05664, details added;