Poincare gauge theory and Galilean covariance

We analyse the Poincare gauge structure proposed by D. Cangemi and R. Jacki w (CJ) (Ann. Phys. (N.Y.) 225, 229), in association with general Lie algebr as and, in particular, with Galilean symmetries. In this context, the CJ me thod is formulated as an embedding scheme of metric spaces, and aspects of Galilean covariance are then used to analyse: (i) the non-relativistic limi ts of the electromagnetic field; (ii) a Galilean counterpart of the CJ theo ry; (iii) geometrical common structures of Lorentzian and Galilean physics; and (iv) a covariant formalism for classical mechanics, (C) 1999 Academic Press.