  A calculation of the no-boundary wave-function of the universe is put forward
for a spacetime with negative curvature. A semi-classical Robertson-Walker
approximation is attempted and two solutions to the field equations, one
Lorentzian and the other a tunneling one are found. The regularity of those
solutions are analysed explicitly, both in 2+1 and 3+1 dimensions and a conical
singularity is found at the origin of the time axis, contradicting the
no-boundary assumption.
