On unit balls and isoperimetrices in normed spaces

Horst Martini, and Zokhrab Mustafaev. "On unit balls and isoperimetrices in normed spaces." Colloquium Mathematicae 127.1 (2012): 133-142. <http://eudml.org/doc/283921>.

@article{HorstMartini2012,
abstract = {The purpose of this paper is to continue the investigations on the homothety of unit balls and isoperimetrices in higher-dimensional Minkowski spaces for the Holmes-Thompson measure and the Busemann measure. Moreover, we show a strong relation between affine isoperimetric inequalities and Minkowski geometry by proving some new related inequalities.},
author = {Horst Martini, Zokhrab Mustafaev},
journal = {Colloquium Mathematicae},
keywords = {Busemann volume; cross-section measures; ellipsoids; Holmes-Thompson volume; inner radius; intersection body; isoperimetrix; Minkowski space; outer radius; projection body},
language = {eng},
number = {1},
pages = {133-142},
title = {On unit balls and isoperimetrices in normed spaces},
url = {http://eudml.org/doc/283921},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Horst Martini
AU - Zokhrab Mustafaev
TI - On unit balls and isoperimetrices in normed spaces
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 1
SP - 133
EP - 142
AB - The purpose of this paper is to continue the investigations on the homothety of unit balls and isoperimetrices in higher-dimensional Minkowski spaces for the Holmes-Thompson measure and the Busemann measure. Moreover, we show a strong relation between affine isoperimetric inequalities and Minkowski geometry by proving some new related inequalities.
LA - eng
KW - Busemann volume; cross-section measures; ellipsoids; Holmes-Thompson volume; inner radius; intersection body; isoperimetrix; Minkowski space; outer radius; projection body
UR - http://eudml.org/doc/283921
ER -