A COUNTEREXAMPLE TO A CONJECTURE ABOUT POSITIVE SCALAR CURVATURE

作者:Pape Daniel*; Schick Thomas
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(7): 3165-3168.
DOI:10.1090/s0002-9939-2015-12330-1

摘要

In his article in Proc. Amer. Math. Soc. 138 (2010), no. 5, 1621-1632, S. Chang conjectures that a closed smooth manifold M with nonspin universal covering admits a metric of positive scalar curvature if and only if a certain homological condition is satisfied. We present a counterexample to this conjecture, based on the counterexample to the unstable Gromov-Lawson- Rosenberg conjecture given in the second author's article in Topology 37 (1998), no. 6, 1165-1168.

  • 出版日期2015-7

全文