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

 

A splitting theorem for $ 4$-dimensional manifolds of nonnegative curvature


Author: Gerard Walschap
Journal: Proc. Amer. Math. Soc. 104 (1988), 265-268
MSC: Primary 53C20
MathSciNet review: 958080
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Abstract: A structure theorem for four-dimensional open manifolds of non-negative curvature is stated. More generally, it is shown that any manifold with soul $ S$ of codimension 2 admits a Riemannian submersion onto $ S$, which splits as a metric product whenever $ S$ has flat normal bundle.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958080-5
PII: S 0002-9939(1988)0958080-5
Article copyright: © Copyright 1988 American Mathematical Society