  The Randall-Sundrum (RS) model with a small curvature is considered. The mass
spectrum of Kaluza-Klein (KK) gravitons in such a scheme is similar (although
not equivalent) to that in a model with one extra dimension in a flat metric.
The gravity effects in the processes $e^+e^- \to e^+e^-$ and $e^+e^-
\to\mu^+\mu^-$ at the collision energy 1 TeV are presented. Our calculations
are based on the previously obtained formula for virtual graviton contributions
which takes into account both a discrete character of the mass spectrum and
nonzero widths of the KK gravitons.
