A NOTE ON THE CONVEX BODY ISOPERIMETRIC CONJECTURE IN THE PLANE

Bo Hshiung Wang; Ye Kai Wang

doi:10.1090/proc/16555

A NOTE ON THE CONVEX BODY ISOPERIMETRIC CONJECTURE IN THE PLANE

Bo Hshiung Wang, Ye Kai Wang

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摘要

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.

原文	English
頁（從 - 到）	801-813
頁數	13
期刊	Proceedings of the American Mathematical Society
卷	152
發行號	2
DOIs	https://doi.org/10.1090/proc/16555
出版狀態	Published - 1 2月 2024

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A NOTE ON THE CONVEX BODY ISOPERIMETRIC CONJECTURE IN THE PLANE

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