Codimension two complete noncompact submanifolds with nonnegative curvature
Author:
Maria Helena Noronha
Journal:
Trans. Amer. Math. Soc. 311 (1989), 739-748
MSC:
Primary 53C40
DOI:
https://doi.org/10.1090/S0002-9947-1989-0978374-2
MathSciNet review:
978374
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Abstract | References | Similar Articles | Additional Information
Abstract: We study the topology of complete noncompact manifolds with non-negative sectional curvatures isometrically immersed in Euclidean spaces with codimension two. We investigate some conditions which imply that such a manifold is a topological product of a soul by a Euclidean space and this gives a complete topological description of this manifold.
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Additional Information
Keywords:
Compact soul,
reducibility along the soul,
curvature operator
Article copyright:
© Copyright 1989
American Mathematical Society
