Nonnegatively curved submanifolds in codimension two

Author:
Maria Helena Noronha

Journal:
Trans. Amer. Math. Soc. **332** (1992), 351-364

MSC:
Primary 53C40

MathSciNet review:
1050086

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Abstract: Let be a complete noncompact manifold with nonnegative sectional curvatures isometrically immersed in Euclidean spaces with codimension two. We show that is a product over its soul, except when the soul is the circle or is -dimensional and the soul is the Real Projective Plane. We also give a rather complete description of the immersion, including the exceptional cases.

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DOI:
https://doi.org/10.1090/S0002-9947-1992-1050086-9

Keywords:
Curvature operator,
soul,
product of immersions,
index of relativity nullity

Article copyright:
© Copyright 1992
American Mathematical Society