Anna Sakovich: On the center of mass of asymptotically hyperbolic initial data sets

There are two main approaches which can be pursued to define the center of mass of an asymptotically Euclidean / hyperbolic initial data set. The first definition is derived from the Hamiltonian charges approach, while the second definition is purely geometric. After reviewing the situation in the asymptotically Euclidean setting, we will discuss how to unite these approaches in the asymptotically hyperbolic case.