  We introduce a general method to construct classes of dynamical systems
invariant under generalizations of the Carroll and of the Galilei groups. The
method consists in starting from a space-time in $D+1$ dimensions and
partitioning it in two parts, the first Minkowskian and the second Euclidean.
Tha action consist of two terms that are separately invariant the Minkwoskian
and Euclidean partitioning. One of those contains a system of lagrangian
multiplies that confine the system to a subspace. The other term defines the
dynamics of the system. The total lagrangian is invariant under the Carroll or
the Galilei groups with zero central charge.
