Dwyer, W., Schick, T. and Stolz, S.: Remarks on a conjecture of Gromov and Lawson
- Autor:
William Dwyer, Thomas Schick, and Stephan Stolz
- Titel: Remarks on a conjecture of Gromov and Lawson
(dvi) (pdf)
-
preprint, arXiv
Abstract:
Gromov and Lawson conjectured that a closed spin
manifold $M$ of dimension $n$ with fundamental
group $\pi$ admits a metric with positive scalar curvature if and only if an associated element
in $KO_n(B\pi)$ vanishes. In this note we present counter
examples to the `if' part of this conjecture for groups $\pi$
which are torsion free and whose classifying space is a manifold
with negative curvature (in the Alexandrov sense).
Thomas Schick