We have studied the structural changes that fatty acid monolayers in the Ov
phase undergo when a simple shear flow is imposed. A strong coupling is re
vealed by the changes in domain structure that are observable using Brewste
r angle microscopy, suggesting the possibility of shear alignment. The depe
ndence of the alignment on the molecular polar tilt proves that the mechani
sm is different than in nematic liquid crystals. We argue that the degenera
te lattice symmetry lines of the underlying pseudohexagonal lattice align i
n the flow direction, and we explain the observed alignment angle using geo
metrical arguments.