JP Journal of Geometry and Topology
Volume 8, Issue 3, Pages 273 - 298
(November 2008)
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A GENERALIZATION OF A RESULT OF HAJDUK CONCERNING POSITIVE SCALAR CURVATURE METRICS ON SPHERES
Brian M. Loft (U.S.A.)
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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 8k and
have
nontrivial connected components, which extended a result due to Carr in
dimensions