  An earlier suggestion that scalar fields in gauge theory may be introduced as
frame vectors or vielbeins in internal symmetry space, and so endowed with
geometric significance, is here sharpened and refined. Applied to a $u(1)
\times su(2)$ theory this gives exactly the Higgs structure of the standard
electroweak theory. Applied to an $su(3)$ theory, it gives a structure having
much in common with a phenomenological model previously constructed to explain
fermion mixing and mass hierarchy. The difference in physical outcome for the
two theories is here traced to the difference in structure between the two
symmetry groups.
