  We show that three-dimensional spherical-shell condensates respond to
rotation by forming two aligned triangular Abrikosov-like vortex lattices on
each hemispherical surface. The centrifugal force due to rotation causes an
elliptical deformation of the spherical shell condensate shape and for faster
rotation rates, drives the formation of a central multi-charged
vortex-antivortex pair at the poles surrounded by a ring of singly charged
vortices in the bulk density. The vortex distributions observed in each
hemisphere take a similar form to those found in rotating harmonic plus quartic
traps.
