Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

Mercuri, Francesco; Noronha, Maria

doi:10.1090/S0002-9947-96-01589-9

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Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

Authors: Francesco Mercuri and Maria Helena Noronha
Journal: Trans. Amer. Math. Soc. 348 (1996), 2711-2724
MSC (1991): Primary 53C40, 53C42
MathSciNet review: 1348153
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Abstract: In this paper we study compact submanifolds of Euclidean space with nonnegative isotropic curvature and low codimension. We determine their homology completely in the case of hypersurfaces and for some low codimensional conformally flat immersions.

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