Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Positive scalar curvature of totally nonspin manifolds

Author(s): Stanley Chang
Journal: Proc. Amer. Math. Soc. 138 (2010), 1621-1632.
MSC (2010): Primary 32Q10
Posted: December 16, 2009
MathSciNet review: 2587446
Retrieve article in: PDF

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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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