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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the topology of self-dual $ 4$-manifolds


Author: Claude LeBrun
Journal: Proc. Amer. Math. Soc. 98 (1986), 637-640
MSC: Primary 53C25; Secondary 32J99, 57R15
MathSciNet review: 861766
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Abstract: Obstructions are obtained for the problem of finding a Riemannian metric with self-dual conformal curvature and nonnegative scalar curvature on a given smooth compact $ 4$-manifold. A list is given of those simply connected manifolds conceivably admitting such metrics.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0861766-2
PII: S 0002-9939(1986)0861766-2
Article copyright: © Copyright 1986 American Mathematical Society