A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains

@inproceedings{ArtsteinAvidan2008ABI,
  title={A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains},
  author={Shiri Artstein-Avidan and Yaron Ostrover},
  year={2008}
}
In this note we examine the classical Brunn–Minkowski inequality in the context of symplectic geometry. Instead of considering volume, as in the original inequality, the quantity we are interested in is a symplectic capacity, given by the minimal symplectic area of a closed characteristic on the boundary of a convex domain. To explain the setting, the main results, and their significance, we start with an introduction.