  In this paper we explore observational bounds on flat and non-flat
cosmological models in Type II Randall-Sundrum (RSII) branes. In a first
analysis, we consider current measurements of the expansion rate H(z) (with two
priors on the local Hubble parameter) and 288 Type Ia supernovae from the Sloan
Digital Sky Survey (within the framework of the mlcs2k2 light-curve fitting
method). We find that the joint analysis involving these data is an interesting
tool to impose limits on the brane tension density parameter (Omega_{lambda})
and that the spatial curvature has a negligible influence on Omega_{lambda}
estimates. In order to obtain stronger bounds for the contribution of the
$\Omega_{\lambda}$ we also add in our analysis the baryon oscillation peak
(BAO) and cosmic microwave background radiation (CMB) observations by using the
so-called CMB/BAO ratio. From this analysis we find that the Omega_{lambda}
contribution is less than 4.10^{-5} (1sigma).
