It was recalled that the geometrical theory of continuous distributions tended to neglect the dependence of a distribution of dislocations upon the existence of point defects which were created by the distribution (for instance, due to intersections of dislocation lines). The effect of such point defects upon the metric properties of a dislocated Bravais crystalline structure was assumed here to be isotropic. The effect of point defects upon the distribution of dislocations was then modelled by treating dislocations as though located in a conformably flat space. This approach led to new results concerning the geometry of glide surfaces.

On the Isotropy of Continuum Dislocated Crystals – I. the Isotropic Lattice Distortion. A.Trzesowski: International Journal of Theoretical Physics, 1997, 36[1], 177-91