At the wall in a hybrid cell with strong anchoring, the nematic direct
or is parallel to one wall and perpendicular to the other. Usually, th
e free energy is minimized by a configuration where the director orien
tation changes continuously with position across the cell. The boundar
y conditions can also be satisfied, however, by a biaxial configuratio
n without such rotation. Under certain conditions, such as under incre
ased curvature strains, a transition can take place between these conf
igurations. The transition typically occurs when the wavelength of the
deformation becomes comparable to the coherence length of the materia
l. The hybrid cell considered is a simple illustrative example, in rea
l systems, such a transition may be expected in highly strained thermo
tropics, or in strained lyotropics which are easily made biaxial.