On Hadwiger's problem on inner parallel bodies

• Autorzy: Eugenia Saorín
• Języki publikacji: EN

Abstrakty

EN

We consider the problem of classifying the convex bodies in the 3-dimensional space depending on the differentiability of their associated quermassintegrals with respect to the one-parameter-depending family given by the inner/outer parallel bodies. It turns out that this problem is closely related to some behavior of the roots of the 3-dimensional Steiner polynomial.

Kategorie tematyczne

• 52A39: Mixed volumes and related topics
• 52A40: Inequalities and extremum problems
• 52A20: Convex sets in n dimensions (including convex hypersurfaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 84
• Numer: 1
• Strony: 121-129

Daty

wydano

2009

Twórcy

autor

Eugenia Saorín

• Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain

Identyfikatory

DOI

10.4064/bc84-0-8