2022
DOI: 10.1051/cocv/2022056
|View full text |Cite
|
Sign up to set email alerts
|

A reverse isoperimetric inequality for planar (α, β)-convex bodies

Abstract: In this paper, we study a reverse isoperimetric inequality for planar convex bodies whose radius of curvature is between two positive numbers 0 [[EQUATION]]  α < β, called (α,β)-convex bodies. We show that among planar (α,β)-convex bodies of fixed perimeter, the extremal shape is a domain whose boundary is composed by two arcs of circles of radius α joined by two arcs of circles of radius β.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
references
References 17 publications
0
0
0
Order By: Relevance