  We investigate shape coexistence in a rotating nucleus. We concentrate on the
interesting case of 72-Kr which exhibits an interesting interplay between
prolate and oblate states as a function of angular momentum. The calculation
uses the local harmonic version of the method of self-consistent adiabatic
large-amplitude collective motion. We find that the collective behaviour of the
system changes with angular momentum and we focus on the role of non-axial
shapes.
