A NOTE ON THE CONVEX BODY ISOPERIMETRIC CONJECTURE IN THE PLANE

Bo Hshiung Wang, Ye Kai Wang

Research output: Contribution to journalArticlepeer-review

Abstract

The convex body isoperimetric conjecture in the plane asserts that the least perimeter to enclose given area inside a unit disk is greater than inside any other convex set of area π. In this note we confirm two cases of the conjecture: perturbations of the unit disk and domains bounded by curves symmetric to both coordinate axes and having exactly four vertices.

Original languageEnglish
Pages (from-to)801-813
Number of pages13
JournalProceedings of the American Mathematical Society
Volume152
Issue number2
DOIs
StatePublished - 1 Feb 2024

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