Geometric Inequalities

Horst Martini (), Luis Montejano and Déborah Oliveros
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Horst Martini: Chemnitz University of Technology, Faculty of Mathematics
Luis Montejano: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas
Déborah Oliveros: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas

Chapter Chapter 14 in Bodies of Constant Width, 2019, pp 321-342 from Springer

Abstract: Abstract Our first isoperimetric inequality is the following (see Theorem 2.7.1 ): For every plane convex body $$\phi \subset \mathbb {E}^2$$ ϕ ⊂ E 2 of area A and perimeter P we have $$ P^2-4A\pi \ge 0, $$ P 2 - 4 A π ≥ 0 , and equality holds only for 2-dimensional disks.

Date: 2019
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DOI: 10.1007/978-3-030-03868-7_14

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