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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-10,
author = {Horst Martini and Zokhrab Mustafaev},
title = {On unit balls and isoperimetrices in normed spaces},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {133-142},
zbl = {1259.46009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-10}
}
Horst Martini; Zokhrab Mustafaev. On unit balls and isoperimetrices in normed spaces. Colloquium Mathematicae, Tome 126 (2012) pp. 133-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-10/