  We consider a theory in which spacetime is an n-dimensional surface $V_n$
embedded in an $N$-dimensional space $V_N$. In order to enable also the
Kaluza-Klein approach we admit $n > 4$. The dynamics is given by the minimal
surface action in a curved embedding space. The latter is taken, in our
specific model, as being a conformally flat space. In the quantization of the
model we start from a generalization of the Howe-Tucker action which depends on
the embedding variables ${\eta}^a (x)$ and the (intrinsic) induced metric
$g_{\mu \nu}$ on $V_n$. If in the path integral we perform only the functional
integration over ${\eta}^a (x)$, we obtain the effective action which
functionally depends on $g_{\mu \nu}$ and contains the Ricci scalar $R$ and its
higher orders $R^2$ etc. But due to our special choice of the conformal factor
in $V_N$ enterig our original action, it turns out that the effective action
contains also the source term. The latter is in general that of a
$p$-dimensional membrane ($p$-brane); in particular we consider the case of a
point particle. Thus, starting from the basic fields ${\eta}^a (x)$, we induce
not only the kinetic term for $g_{\mu \nu}$, but also the "matter" source term.
