On Hadwiger's problem on inner parallel bodies

Eugenia 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 -