  We introduce a generalized gravitational conformal invariance in the context
of non-compactified 5D Kaluza-Klein theory. It is done by assuming the 4D
metric to be dependent on the extra non-compactified dimension. It is then
shown that the conformal invariance in 5D is broken by taking an absolute
cosmological scale $R_0$ over which the 4D metric is assumed to be dependent
weakly on the 5th dimension. This is equivalent to Deser's model for the
breakdown of the conformal invariance in 4D by taking a constant cosmological
mass term $\mu^2\sim R_0^{-2}$ in the theory. We set the scalar field to its
background cosmological value leading to Einstein equation with the
gravitational constant $G_N$ and a small cosmological constant. A dual Einstein
equation is also introduced in which the matter is coupled to the higher
dimensional geometry by the coupling $G_N^{-1}$. Relevant interpretations of
the results are also discussed.
