Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

Mercuri, Francesco; Noronha, Maria

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

Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature
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by Francesco Mercuri and Maria Helena Noronha

Trans. Amer. Math. Soc. 348 (1996), 2711-2724

DOI: https://doi.org/10.1090/S0002-9947-96-01589-9

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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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