English

Towards a constrained Willmore conjecture

Differential Geometry 2022-03-03 v1

Abstract

We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures would lead to a deeper understanding of the Willmore functional over conformal immersions from compact surfaces.

Keywords

Cite

@article{arxiv.1705.03217,
  title  = {Towards a constrained Willmore conjecture},
  author = {Lynn Heller and Franz Pedit},
  journal= {arXiv preprint arXiv:1705.03217},
  year   = {2022}
}

Comments

17pages

R2 v1 2026-06-22T19:41:17.244Z