THE ISOPERIMETRIC QUOTIENT OF A CONVEX BODY DECREASES MONOTONICALLY UNDER THE EIKONAL ABRASION MODEL

G. Domokos, Zsolt Lángi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show that under the Eikonal abrasion model, prescribing uniform normal speed in the direction of the inward surface normal, the isoperimetric quotient of a convex shape is decreasing monotonically.

Original languageEnglish
Pages (from-to)119-129
Number of pages11
JournalMathematika
Volume65
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

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Isoperimetric
Normal Surface
Convex Body
Quotient
Decrease
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

THE ISOPERIMETRIC QUOTIENT OF A CONVEX BODY DECREASES MONOTONICALLY UNDER THE EIKONAL ABRASION MODEL. / Domokos, G.; Lángi, Zsolt.

In: Mathematika, Vol. 65, No. 1, 01.01.2019, p. 119-129.

Research output: Contribution to journalArticle

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