Bounds on the roots of the Steiner polynomial

Details Bounds on the roots of the Steiner polynomial Bounds on the roots of the Steiner polynomial

2008-10-10

arxiv.org/abs/0810.1794v2

Mathematics

Metric Geometry

5 pages; corrected a typo in statement of Lemma 2.1 (Feb. 2, 2009)

Scientific paper

We consider the Steiner polynomial of a C^2 convex body K in R^n (n \leq 5).
The opposites of the real parts of the roots of the Steiner polynomial are
bounded below by the minimum value and above by the maximum value of the
principal radii of curvature of the boundary of K.

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