  The evolution of different magnetic structures of non-centrosymmetric
Ba2CuGe2O7 is systematically studied as function of the orientation of the
magnetic field H. Neutron diffraction in combination with measurements of
magnetization and specific heat show a virtually identical behaviour of the
phase diagram of Ba2CuGe2O7 for H confined in both the (1,0,0) and (1,1,0)
plane. The existence of a recently proposed incommensurate double-k AF-cone
phase is confirmed in a narrow range for H close to the tetragonal c-axis. For
large angles enclosed by H and the c-axis a complexely distorted non-sinusoidal
magnetic structure has recently been observed. We show that its critical field
Hc systematically increases for larger canting. Measurements of magnetic
susceptibility and specific heat finally indicate the existence of an
incommensurate/commensurate transition for H /sim 9 T applied in the basal
(a,b)-plane and agree with a non-planar, distorted cycloidal magnetic
structure.
