CLASSICAL AND QUANTUM EVOLUTIONS OF THE DESITTER AND THE ANTI-DESITTER UNIVERSES IN 2+1 DIMENSIONS (VOL 49, PG 5211, 1994)

The discussion in a previous paper on reducing the phase space of the first-order Einstein gravity in 2 + 1 dimensions is refined. We provid e a preSCription to construct a ''correct'' physical phase space in th e case of a positive cosmological constant. A parametrization which un ifies the two sectors of the physical phase space is also given. Unlik e the cases of a nonpositive cosmological constant, the unified phase space turns out to be Hausdorff type when the cosmological constant is positive.