# On Hadwiger's problem on inner parallel bodies

Banach Center Publications (2009)

- Volume: 84, Issue: 1, page 121-129
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topEugenia Saorín. "On Hadwiger's problem on inner parallel bodies." Banach Center Publications 84.1 (2009): 121-129. <http://eudml.org/doc/282298>.

@article{EugeniaSaorín2009,

abstract = {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.},

author = {Eugenia Saorín},

journal = {Banach Center Publications},

keywords = {Steiner polynomial; inner parallel bodies; quermassintegrals},

language = {eng},

number = {1},

pages = {121-129},

title = {On Hadwiger's problem on inner parallel bodies},

url = {http://eudml.org/doc/282298},

volume = {84},

year = {2009},

}

TY - JOUR

AU - Eugenia Saorín

TI - On Hadwiger's problem on inner parallel bodies

JO - Banach Center Publications

PY - 2009

VL - 84

IS - 1

SP - 121

EP - 129

AB - 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.

LA - eng

KW - Steiner polynomial; inner parallel bodies; quermassintegrals

UR - http://eudml.org/doc/282298

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.