  We present an effective four-dimensional formulation of the laws of gravity
that respects the main features of a higher (five)-dimensional scenario of
Randall-Sundrum type. The geometrical structure of the theory is that of a
Weyl-integrable configuration. Standard general relativity over Riemann
geometry is recovered through breaking of conformal symmetry. The singularity
problem is treated. The local problem in the case of the static,
spherically-symmetric Schwarzschild metric and the cosmological issue, in the
case of Friedmann-Robertson-Walker perfect fluid filled universe, are treated
separately. Vanishing of the spacetime singularities for some values of the
free parameter of the theory is achieved. The implications of the results
obtained for brane stabilization in the higher-dimensional structure are
briefly discussed.
