  We consider a toy model with flat thin branes embedded in a 5-dimensional
Weyl integrable manifold, where the geometric Weyl scalar provides the material
that constitute the brane configurations. The brane configuration is similar to
the Randall-Sundrum model. However, it is found that the massless graviton is
localized on the brane with negative tension. So in order to solve the gauge
hierarchy problem our world should be confined on the positive tension brane,
and this is crucial to reproduce a correct Friedmann-like equation on the
brane. The spacings of graviton mass spectrum are very tiny, but these massive
gravitons are hidden in low energy experiments because they are weakly coupled
with matter on the brane.
