  The generalized solution for the warp factor of the Randall-Sundrum metric is
presented which is symmetric with respect to both branes and explicitly
periodic in extra variable. Given that the curvature of the 5-dimensional
space-time is small, the expected rate of neutrino-induced inclined events at
the Surface Detector of the Pierre Auger Observatory is calculated. Both the
"downward-going" (DG) and "Earth-skimming" (ES) neutrinos are considered. By
comparing the expected event rate with the recent Auger data on searching for
neutrino candidates, the lower bound on the fundamental gravity scale M_5 is
obtained. The ratio of the number of the ES air showers to the number of the DG
showers is estimated as a function of M_5.
