  We study here compact manifolds with positive scalar curvature metrics. We
use the relative Yamabe invariant from math.DG/0008138 to define the conformal
cobordism relation on the category of such manifolds. We prove that
corresponding conformal cobordism groups $\Pos_n^{\conf}(\gamma)$ are
isomorphic to the cobordism groups $\Pos_n(\gamma)$ defined topologically by S.
Stolz. As a corollary we show that the conformal concordance of positive scalar
curvature metrics coincides with the standard concordance relation. Our main
technical tools came from the analysis and conformal geometry.
