Isoperimetric inequality for curves with curvature bounded below

DOI10.1134/S0001434614050034zbMath1318.53003OpenAlexW1982463124MaRDI QIDQ2342018

Kostiantyn Drach, Alexander A. Borisenko

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614050034

zbMATH Keywords

isoperimetric inequalityminimal areaembedded closed curve

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Isoperimetric problems for polytopes (52B60) Curves in Euclidean and related spaces (53A04)

Related Items (6)

A reverse isoperimetric inequality for planar (α, β)-convex bodies ⋮ Reverse isoperimetric inequality in two-dimensional Alexandrov spaces ⋮ Inradius estimates for convex domains in 2-dimensional Alexandrov spaces ⋮ Volumetric bounds for intersections of congruent balls in Euclidean spaces ⋮ A sausage body is a unique solution for a reverse isoperimetric problem ⋮ Extreme properties of curves with bounded curvature on a sphere

Cites Work

• Unnamed Item

This page was built for publication: Isoperimetric inequality for curves with curvature bounded below