%0 Journal Article %T Differential geometry of density states %A V. I. Man'ko %A G. Marmo %A E. C. G. Sudarshan %A F. Zaccaria %J Mathematics %D 2005 %I arXiv %R 10.1016/S0034-4877(05)80055-2 %X We consider a geometrization, i.e., we identify geometrical structures, for the space of density states of a quantum system. We also provide few comments on a possible application of this geometrization for composite systems. %U http://arxiv.org/abs/quant-ph/0503041v2