Positive scalar curvature of totally nonspin manifolds

Chang, Stanley

doi:10.1090/S0002-9939-09-09483-0

Positive scalar curvature of totally nonspin manifolds
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Proc. Amer. Math. Soc. 138 (2010), 1621-1632 Request permission

Abstract:

In this paper we address the issue of positive scalar curvature on oriented nonspin compact manifolds whose universal cover is also nonspin. We provide a conjecture for an obstruction to such curvature in this venue that takes into account all the data known to date. The conjecture is proved for a wide class of closed manifolds based on their fundamental group structure.

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