We present the covariant generalization of the Dirac equation in a nonfacto
rizable metric and give the corresponding exact solutions in terms of speci
al functions as well as the explicit form of the spinor solution. Then we t
reat the particular case of the Weyl equation for the neutrinos. (C) 1999 A
merican Institute of Physics. [S0022-2488(99)02807-8].