  We obtain D=4 de Sitter gravity coupled to SU(2) Yang-Mills gauge fields from
an explicit and consistent truncation of D=11 supergravity via Kaluza-Klein
dimensional reduction on a non-compact space. The ``internal'' space is a
smooth hyperbolic 7-space (H^7) written as a foliation of two 3-spheres, on
which the SU(2) Yang-Mills fields reside. The positive cosmological constant is
completely fixed by the SU(2) gauge coupling constant. The explicit reduction
ansatz enables us to lift any of the D=4 solutions to D=11. In particular, we
obtain dS_2 in M-theory, where the nine-dimensional transverse space is an H^7
bundle over S^2. We also obtain a new smooth embedding of dS_3 in D=6
supergravity.
