Notes on the roots of Steiner polynomials. (English) Zbl 1158.52003

Henk, Martin; Hernández Cifre, María A.

Rev. Mat. Iberoam. 24, No. 2, 631-644 (2008).

The authors study the location and the size of the roots of Steiner polynomials of convex bodies in the Minkowski relative geometry.

Reviewer: Anatoliy Milka (Kharkov)

MSC:

52A20	Convex sets in \(n\) dimensions (including convex hypersurfaces)
52A39	Mixed volumes and related topics in convex geometry
30C15	Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)

Keywords:

Steiner polynomial; Teissier’s problem; tangential bodies; circumradius; inradius

References:

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