Uniqueness of radial centers of parallel bodies

Details Uniqueness of radial centers of parallel bodies Uniqueness of radial centers of parallel bodies

2011-09-23

arxiv.org/abs/1109.5069v1

Mathematics

Metric Geometry

13 pages, 8 figures

Scientific paper

We show the uniqueness of the radial centers of any order $\alpha$ of a
parallel body of a convex body $\Omega$ in $\mathbb R^m$ at distance $\delta$
if $\delta$ is greater than the diameter of $\Omega$ multiplied by a constant
which depends only on the dimension $m$.

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