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Bounds on the roots of the Steiner polynomial
-
Madeleine Jetter
Veröffentlicht/Copyright:
8. April 2011
Abstract
We consider the Steiner polynomial of a C2 convex body 
. Denote by ρmin the minimum value of the principal radii of curvature of ∂K and by ρmax their maximum. When n ≤ 5, the real parts of the roots are bounded above by –ρmin and below by –ρmax. These bounds are valid for any n such that all of the roots of the Steiner polynomial of every convex body in 
lie in the left half-plane.
Received: 2009-03-27
Published Online: 2011-04-08
Published in Print: 2011-April
© de Gruyter 2011
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Artikel in diesem Heft
- On finite subgroups of compact Lie groups and fundamental groups of Riemannian manifolds
- Sets resilient to erosion
- On duality and endomorphisms of lattices of closed convex sets
- On the complexity group of stable curves
- Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature
- Character tables of m-flat association schemes
- Character tables of the association schemes obtained from the finite affine classical groups acting on the sets of maximal totally isotropic flats
- Bounds on the roots of the Steiner polynomial
- Polarities of Schellhammer planes
- Substituting compact disks in stable planes
- On the local structure and the homology of CAT(κ) spaces and euclidean buildings
- Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38
Artikel in diesem Heft
- On finite subgroups of compact Lie groups and fundamental groups of Riemannian manifolds
- Sets resilient to erosion
- On duality and endomorphisms of lattices of closed convex sets
- On the complexity group of stable curves
- Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature
- Character tables of m-flat association schemes
- Character tables of the association schemes obtained from the finite affine classical groups acting on the sets of maximal totally isotropic flats
- Bounds on the roots of the Steiner polynomial
- Polarities of Schellhammer planes
- Substituting compact disks in stable planes
- On the local structure and the homology of CAT(κ) spaces and euclidean buildings
- Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38
