Nonnegatively curved submanifolds in codimension two
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- by Maria Helena Noronha PDF
- Trans. Amer. Math. Soc. 332 (1992), 351-364 Request permission
Abstract:
Let $M$ be a complete noncompact manifold with nonnegative sectional curvatures isometrically immersed in Euclidean spaces with codimension two. We show that $M$ is a product over its soul, except when the soul is the circle ${S^1}$ or $M$ is $3$-dimensional and the soul is the Real Projective Plane. We also give a rather complete description of the immersion, including the exceptional cases.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 332 (1992), 351-364
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9947-1992-1050086-9
- MathSciNet review: 1050086