  We investigate gauge invariant scalar fluctuations of the metric during
inflation in a non-perturbative formalism in the framework of a recently
introduced scalar-tensor theory of gravity formulated on a Weyl-Integrable
geometry. We found that the Weyl scalar field can play the role of the inflaton
field in this theory. As an application we study the case of a power law
inflation. In this case the quasi-scale invariance of the spectrum for scalar
fluctuations of the metric is achieved for determined values of the $\omega$
parameter of the scalar-tensor theory. In our formalism the physical inflaton
field has a geometrical origin.
