%0 Journal Article
%T On Isoperimetric Inequalities in Minkowski Spaces
%A Martini Horst
%A Mustafaev Zokhrab
%J Journal of Inequalities and Applications
%D 2010
%I Springer
%X The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization could be used as a useful tool to prove Petty's conjectured projection inequality.
%U http://www.journalofinequalitiesandapplications.com/content/2010/697954