Contractible manifolds with exotic positive scalar curvature behavior Chapter uri icon


  • 2017 American Mathematical Society. We construct some contractible manifolds with uncountably many nonconcordant complete positive scalar curvature metrics and some with none at all, detected via a (Formula Presented.)-invariant. The construction uses methods of geometric group theory combined with surgery theory, and the method of obstruction uses a new index theory for complete manifolds that the authors introduced in [4].

author list (cited authors)

  • Chang, S., Weinberger, S., & Yu, G.

citation count

  • 0

complete list of authors

  • Chang, Stanley||Weinberger, Shmuel||Yu, Guoliang

Book Title

  • Manifolds and -Theory

publication date

  • January 2017