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On Hadwiger's Results Concerning Minkowski Sums and Isoperimetric Inequalities for Moments of Inertia

Keady, Grant (2006) On Hadwiger's Results Concerning Minkowski Sums and Isoperimetric Inequalities for Moments of Inertia. Research report collection, 9 (4).

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Abstract

Consider convex plane domains D(t) = (1−t)D₀ + tD₁, 0 ≤ t ≤ 1. We first prove that the 1/4-power of the polar moment of inertia about the centroid of D(t) is concave in t. From this we deduce some isoperimetric inequalities.

Item Type: Article
Uncontrolled Keywords: moment of domain, Brunn-Minkowski, Prekopa-Leindler, isoperimetric inequality
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:59
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17583
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