  The Hartree-Fock ground state phase diagram of the one-dimensional Hubbard
model is calculated, constrained to uniform phases, which have no charge
density modulation. The allowed solutions are saturated ferromagnetism (FM), a
spiral spin density wave (SSDW) and a double spin density wave} (DSDW). The
DSDW phase comprises two canted interpenetrating antiferromagnetic sublattices.
FM occurs for small filling, SSDW in most of the remainder of the phase
diagram, and DSDW in a narrow tongue near quarter (and three-quarter) filling.
Itinerant electrons lift the degeneracy with respect to canting angle in the
DSDW. The Hartree-Fock states are metallic except at multiples of a quarter
filling. Near half filling the uniform SSDW phase is unstable against phase
separation into a half-filled antiferromagnetic phase and a hole-rich SSDW
phase. The dependence of the ground state wave number on chemical potential is
conjectured to be a staircase. Comparison is made with higher dimensional
Hubbard models and the $J_{1}-J_{2}$ Heisenberg model.
