Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Caroccia - F. Maggi

A sharp quantitative version of Hales' isoperimetric honeycomb theorem

created by maggi on 22 Oct 2014
modified on 06 Jun 2016

[BibTeX]

Accepted Paper

Inserted: 22 oct 2014
Last Updated: 6 jun 2016

Journal: Journal de Mathématiques Pures et Appliquées
Year: 2015

Abstract:

We prove a sharp quantitative version of Hales' isoperimetric honeycomb theorem by exploiting a quantitative isoperimetric inequality for polygons and an improved convergence theorem for planar bubble clusters. Further applications include the description of isoperimetric tilings of the torus with respect to almost unit-area constraints or with respect to almost flat Riemannian metrics.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1