Some Generalized Physical Models Through Homographic Group

In the present paper some generalized physical models are established using differential and integral elements geometry of the homographic group. The generalization of the hyperbolic motions (with constant acceleration) on the Minkowskian space-time and classical Kepler problems is analyzed using a variational principle of Matzner-Misner type. This way the Skyrme theory is placed in an inherent continuity with respect to the Newtonian natural philosophy.