A Counterexample to a Conjecture about Positive Scalar Curvature

Daniel Pape; Thomas Schick

doi:10.1090/s0002-9939-2015-12330-1

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arXiv · 1102.2916

A Counterexample to a Conjecture about Positive Scalar Curvature

Daniel Pape·Thomas Schick

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Abstract

Conjecture 1 of Stanley Chang: "Positive scalar curvature of totally nonspin manifolds" asserts that a closed smooth manifold M with non-spin 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 Schick: "A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture".

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BibTeX RIS

Daniel Pape, Thomas Schick. 2011-02-14. A Counterexample to a Conjecture about Positive Scalar Curvature. https://doi.org/10.1090/s0002-9939-2015-12330-1

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