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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A splitting theorem for complete manifolds with nonnegative curvature operator


Author: Maria Helena Noronha
Journal: Proc. Amer. Math. Soc. 105 (1989), 979-985
MSC: Primary 53C20
MathSciNet review: 933519
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Abstract: It is shown that any complete, noncompact, simply connected Riemannian manifold with nonnegative curvature operator is isometric to the product of its compact soul (in the sense of Cheeger-Gromoll) and a complete manifold diffeomorphic to a Euclidean space


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0933519-0
Keywords: Nonnegative curvature, soul
Article copyright: © Copyright 1989 American Mathematical Society