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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Construction of manifolds of positive scalar curvature


Author: Rodney Carr
Journal: Trans. Amer. Math. Soc. 307 (1988), 63-74
MSC: Primary 53C20
MathSciNet review: 936805
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Abstract: We prove that a regular neighborhood of a codimension $ \geqslant 3$ subcomplex of a manifold can be chosen so that the induced metric on its boundary has positive scalar curvature. A number of useful facts concerning manifolds of positive scalar curvature follow from this construction. For example, we see that any finitely presented group can appear as the fundamental group of a compact $ 4$-manifold with such a metric.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0936805-7
PII: S 0002-9947(1988)0936805-7
Article copyright: © Copyright 1988 American Mathematical Society