Abstract
The finite-temperature Hartree-Fock-Bogoliubov cranking equation is solved for Er166 for temperatures up to 2.8 MeV and spins up to 60ħ. The deformation, pair gaps, moment-of-inertia, and level density parameter are determined as functions of the temperature and the angular momentum. For a fixed spin, increasing the temperature induces a transition from a prolate shape to an oblate shape, and a transition from collective rotation to noncollective rotation. The spin dependence of the critical temperature is determined.