1. J. P. Hsu:Nuovo Cimento B,108, 183 (1993).
2. See, for example,W. Pauli:Theory of Relativity (Pergamon, London, 1958) (translated byG. Feld), p. 193.
3. J. P. Hsu, P. S. Jian andHui Lu: UMass Dartmouth preprint (1993). WhenJ m k is replaced by a known function, as shown in (3.8), the second equation in (29) of ref.[1] is to be replaced by $$J'_k = [J_m (\partial x^m /\partial x'^k ) - (\dot \partial _m lnU)(\partial \dot x^m /\partial x'^k )]$$ (where $$J'_k = - (d/dt)(\dot \partial '_k \ln U)$$ ), which can be shown by direct calculations.
4. H. Rund:The Differential Geometry of Finsler Spaces (Springer-Verlag, Berlin, 1959), pp. 3–5, 67–74;J. L. Synge:Transs. Am. Math. Soc.,27, 61 (1925);J. H. Taylor:Trans. Am. Math. Soc.,27, 246 (1925).
5. C. N. Yang:Phys. Rev. D,1, 2360 (1970).