English

Control of the isoperimetric deficit by the Willmore deficit

Differential Geometry 2011-07-01 v1

Abstract

In the class of smoothly embedded surfaces of sphere type we prove that the isoperimetric deficit can be controlled by the Willmore deficit.

Keywords

Cite

@article{arxiv.1106.6213,
  title  = {Control of the isoperimetric deficit by the Willmore deficit},
  author = {Matthias Röger and Reiner Schätzle},
  journal= {arXiv preprint arXiv:1106.6213},
  year   = {2011}
}