Local/global in mathematics and painting

Twentieth century mathematicians have succefully mastered methodology that combines local and global tools, which has led, for example, to the resolution of long-standing open problems such as the homoclinic onset in dynamical systems first forseen by Poincaré, or Fermat's Last Theorem. I use this methodology, with particular reference to that of riemannian geometry, to analyse a painting of Pablo Picasso. The local analysis highlights that there are several viewpoints in the painting, corresponding to different simultaneous onlookers; the global recomposition, performed by patching continuous paths and their overlapping, much as in Riemannian Geometry, positions coherently the simultaneous onlookers, subject of the different viewpoints.