  Colloidal and other granular media experience a transition to rigidity known
as jamming if the fill fraction is increased beyond a critical value. The
resulting jammed structures are locally disordered, bear applied loads
inhomogenously, possess the minimal number of contacts required for stability
and elastic properties that scale differently with volume fraction to
crystalline media. Here the jamming transition is studied on a curved
ellipsoidal surface by computer simulation, where shape evolution leads to a
reduction in area, crowding the particles and preventing further evolution of
the surface. The arrested structures can be unjammed and the surface further
evolved iteratively, eventually leading to a rigid metric-jammed state that is
stable with respect to motion of the particles and some specified space of
deformations of the manifold. The structures obtained are compared with those
obtained in flat space; it is found that jammed states in curved geometries
require fewer contacts per particle due to the nonlinearity of the surface
constraints. In addition, structures composed of soft particles are compressed
above the jamming point. It is observed that relatively well-ordered but
geometrically frustrated monodisperse packings share many signatures of
disordered bidisperse packings.
