location:  Publications → journals → CMB
Abstract view

# On Benson's Definition of Area in Minkowski Space

Let $(X, \norm)$ be a Minkowski space (finite dimensional Banach space) with unit ball $B$. Various definitions of surface area are possible in $X$. Here we explore the one given by Benson \cite{ben1}, \cite{ben2}. In particular, we show that this definition is convex and give details about the nature of the solution to the isoperimetric problem.