Abstract: | This paper analyses some common physical characteristics of the gauge field strengths and sources with unequivalent potentials and expresses it in geometrical terms. The eigen-directions of these fields and sources form twistfree curve congrence, which has orthogonal hypersurfaces. The field is Abelianlizable (frequently, even trival) on each hypersurface, i.e. there exists Higgs field, which is invariant under translation along each hypersurface. The gauge field and sources are not altered during the variation of potentials, generated by the gauge rotation around Higgs fields with equal angles on each individual hypersurface but with unequal angles on different hypersurfaces. |