  It is well-known that many three-dimensional chiral material models become
non-chiral when reduced to two dimensions. Chiral properties of the
two-dimensional model can then be restored by adding appropriate
two-dimensional chiral terms. In this paper we show how to construct a
three-dimensional chiral energy function which can achieve two-dimensional
chirality induced already by a chiral three-dimensional model. The key
ingredient to this approach is the consideration of a nonlinear chiral energy
containing only rotational parts. After formulating an appropriate energy
functional, we study the equations of motion and find explicit soliton
solutions displaying two-dimensional chiral properties.
