Abstract: A result of Hajduk
demonstrates an isomorphism between the abelian group of concordance classes of
positive scalar curvature metrics onn-spheres and
the relative cobordism classes of smooth real spin manifolds. We extend these
isomorphisms to manifolds which admit a free finite group action- either on the
entire manifold or solely on the boundary. After defining the relevant cobordism
relations, we exhibit maps between the relative corbordism groups and the
corresponding concordance classes of particular lens spaces. In addition, for an
additional proof of a theorem of Hitchin is given, namely that the concordance
groups of metrics on spheres of dimension 8kand have
nontrivial connected components, which extended a result due to Carr in
dimensions
Keywords and phrases: positive scalar curvature, relative cobordism, concordance classes.
