1. J. S. Lomont andH. E. Moses:Comm. Pure Appl. Math.,14, 69 (1961).
2. J. B. Keller: Comm.Pure Appl. Math.,14, 77 (1961).
3. J. T. Cannon andT. F. Jordan: (to be published).
4. D. G. Currie, T. F. Jordan andE. C. G. Sudarshan:Rev. Mod. Phys.,35, 350 (1963).
5. J. T. Cannon andT. E. Jordan: (to be published) have shown that the same no-interaction theorem holds for three classical relativistic particles. The following paper establishes the no-interaction theorem for an arbitrary finite number of classical relativistic particles; in the proof use is made of a generalization of the Helmholtz-Lomont-Moses theorem given in Sect. 5.