English

A lower bound for the isoperimetric deficit

Differential Geometry 2019-05-14 v1

Abstract

In this paper we provide a Bonnesen-style inequality which gives a lower bound for the isoperimetric deficit corresponding to a closed convex curve in terms of some geometrical invariants of this curve. Moreover we give a geometrical interpretation for the case when equality holds.

Keywords

Cite

@article{arxiv.1605.06254,
  title  = {A lower bound for the isoperimetric deficit},
  author = {Julià Cufí and Agustí Reventós},
  journal= {arXiv preprint arXiv:1605.06254},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-22T14:05:25.502Z