  We construct not only an induced gravity model with the restricted
diffeomorphisms, that is, transverse diffeomorphisms which preserves the
curvature density, but also that with the full diffeomorphisms. By solving the
equations of motion, it turns out that these models produce Einstein's
equations with a certain Newton's constant in addition to the constraint for
the curvature density. In the limit of the infinite Newton constant, the models
give rise to induced gravity. Moreover, we discuss cosmological solutions on
the basis of the gravitational models at hand.
