  Geometric quantum discord, proposed by Dakic, Vedral, and Brukner [Phys. Rev.
Lett. 105 (2010) 190502], is an important measure for bipartite correlations.
In this paper, we generalize it to multipartite states, we call the generalized
version geometric global quantum discord (GGQD). We characterize GGQD in
different ways, and provide some special states which allow analytical GGQD.
