The molecules in lyotropic membranes are typically aligned with the su
rface normal. When these molecules are chiral, there is a tendency for
the molecular direction to twist. These competing effects can reach a
compromise by producing helicoidal defects in the membranes. Unlike t
hermotropic smectics, the centers of these defects are hollow and thus
their energy cost comes from the line energy of an exposed lamellar s
urface. We describe both the twist-grain-boundary phase of chiral lame
llar phases as well as the isolated helicoidal defects.