Illumination bodies and affine surface area

@article{Werner1994,
abstract = {We show that the affine surface area as(∂K) of a convex body K in $ℝ^\{n\}$ can be computed as $as(∂K) = lim_\{δ→0\} d_\{n\} (vol_\{n\}(K^\{δ\}) - vol_\{n\}(K))/(δ^\{2/(n+1)\})$ where $d_\{n\}$ is a constant and $K^\{δ\}$ is the illumination body.},
author = {Werner, Elisabeth},
journal = {Studia Mathematica},
keywords = {illumination body; affine surface area; convex floating body},
language = {eng},
number = {3},
pages = {257-269},
title = {Illumination bodies and affine surface area},
url = {http://eudml.org/doc/216113},
volume = {110},
year = {1994},
}

TY - JOUR
AU - Werner, Elisabeth
TI - Illumination bodies and affine surface area
JO - Studia Mathematica
PY - 1994
VL - 110
IS - 3
SP - 257
EP - 269
AB - We show that the affine surface area as(∂K) of a convex body K in $ℝ^{n}$ can be computed as $as(∂K) = lim_{δ→0} d_{n} (vol_{n}(K^{δ}) - vol_{n}(K))/(δ^{2/(n+1)})$ where $d_{n}$ is a constant and $K^{δ}$ is the illumination body.
LA - eng
KW - illumination body; affine surface area; convex floating body
UR - http://eudml.org/doc/216113
ER -