Bounds on the roots of the Steiner polynomial

Abstract

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.

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

References in corpus (1)

• Notes on the roots of Steiner polynomials