A splitting theorem for complete manifolds with nonnegative curvature operator

Noronha, Maria Helena

doi:10.1090/S0002-9939-1989-0933519-0

A splitting theorem for complete manifolds with nonnegative curvature operator
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by Maria Helena Noronha PDF

Proc. Amer. Math. Soc. 105 (1989), 979-985 Request permission

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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