  Micropolar continua are shown to be the generalisation of the nematic liquid
crystals through perspectives of order parameters, topological and geometrical
considerations. Micropolar continua and nematic liquid crystals are recognised
as the antipodals of $S^3$ and $S^2$ in projective geometry. We show that
position-dependent rotational axial fields in kinematic micropolar continua can
be considered as solutions of anisotropic Higgs fields, characterised by
integers N. We emphasise that the identical integers N are topological
invariants through homotopy classifications based on defects of order
parameters and a finite energy requirement. Magnetic monopoles and Skyrmions
are investigated based on the theories of defects of continua in Riemann-Cartan
manifolds.
