  We apply the nonlinear realizations method for constructing new Galilean
conformal mechanics models. Our starting point is the Galilean conformal
algebra which is a non-relativistic contraction of its relativistic
counterpart. We calculate Maurer-Cartan one-forms, examine various choices of
the relevant coset spaces and consider the geometric inverse Higgs-type
constraints which reduce the number of the independent coset parameters and, in
some cases, provide dynamical equations. New Galilean conformally invariant
actions are derived in arbitrary space-time dimension D=d+1 (no central
charges), as well as in the special dimension D=2+1 with one "exotic" central
charge. We obtain new classical mechanics models which extend the standard
(D=0+1) conformal mechanics in the presence of d non-vanishing space
dimensions.
