On unit balls and isoperimetrices in normed spaces
Volume 127 / 2012
Colloquium Mathematicum 127 (2012), 133-142
MSC: 46B20, 52A40.
DOI: 10.4064/cm127-1-10
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.
