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A note on some classical results of Gromov-Lawson

Zadeh, M. E ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1090/S0002-9939-2012-11544-8
  3. Publisher: 2012
  4. Abstract:
  5. In this paper we show how the higher index theory can be used to prove results concerning the non-existence of a complete Riemannian metric with uniformly positive scalar curvature at infinity. By improving some classical results due to M. Gromov and B. Lawson we show the efficiency of these methods to prove such non-existence theorems
  6. Keywords:
  7. Dirac operators ; Enlargeability ; Higher index theory
  8. Source: Proceedings of the American Mathematical Society ; Volume 140, Issue 10 , 2012 , Pages 3663-3672 ; 00029939 (ISSN)
  9. URL: http://www.ams.org/journals/proc/2012-140-10/S0002-9939-2012-11544-8/home.html