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Algebraic Topology and Its Applications pp 241–267Cite as

Manifolds of Positive Scalar Curvature

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Part of the Mathematical Sciences Research Institute Publications book series (MSRI,volume 27)

Abstract

We survey the status of the problem of determining which differentiable manifolds (without boundary) have Riemannian metrics of positive scalar curvature. Of course, if the manifold is non-compact, one requires the metric to be complete.

Key words and phrases

  • positive scalar curvature
  • real K-theory
  • spin manifold
  • spin cobordism
  • Dirac operator
  • assembly map

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Jonathan Rosenberg & Stephan Stolz

  2. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Jonathan Rosenberg & Stephan Stolz

Authors
  1. Jonathan Rosenberg
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  2. Stephan Stolz
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Stanford University, 94305, Stanford, CA, USA

    Gunnar E. Carlsson & Ralph L. Cohen & 

  2. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

    Wu-Chung Hsiang

  3. Mathematics Research Center, University of Warwick, CV4 7AL, Coventry, UK

    John D. S. Jones

  4. Mathematical Sciences Research Institute, 1000 Centennial Drive, 94720, Berkeley, CA, USA

    John D. S. Jones

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© 1994 Springer-Verlag New York, Inc.

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Rosenberg, J., Stolz, S. (1994). Manifolds of Positive Scalar Curvature. In: Carlsson, G.E., Cohen, R.L., Hsiang, WC., Jones, J.D.S. (eds) Algebraic Topology and Its Applications. Mathematical Sciences Research Institute Publications, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9526-3_8

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  • DOI: https://doi.org/10.1007/978-1-4613-9526-3_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9528-7

  • Online ISBN: 978-1-4613-9526-3

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