Constant curvature black holes are constructed by identifying points i
n anti-de Sitter space. In n dimensions, the resulting topology is R(n
-1)xS(1), as opposed to the usual R(2)xS(n-2) Schwarzschild black hole
, and the corresponding causal structure is displayed by an (n-1)-dime
nsional picture, as opposed to the usual two-dimensional Kruskal diagr
am. The five-dimensional case, which can be embedded in a Chern-Simons
supergravity theory, is analyzed in detail.