  We derive the effective dimensionally reduced Schr\"odinger equation with
spin-orbit interaction in low-dimensional electronic strain driven
nanostructures. A method of adiabatic separation among fast normal quantum
degrees of freedom and slow tangential quantum degrees of freedom is used to
show the emergence of a strain-induced Rashba-like spin-orbit interaction
(SOI). By applying this analysis to one-dimensional curved quantum wires we
demonstrate that the curvature-induced Rashba SOI leads to enhanced spin-orbit
effects.
