Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

DOI10.1090/S0002-9947-96-01589-9zbMath0862.53003OpenAlexW1686408900MaRDI QIDQ4890026

Maria Helena Noronha, Francesco Mercuri

Publication date: 25 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01589-9

zbMATH Keywords

conformally flat manifoldshypersurfacesBetti numbersnonnegative isotropic curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Index estimates for minimal surfaces and $k$-convexity ⋮ \(L^2\) curvature pinching theorems and vanishing theorems on complete Riemannian manifolds ⋮ Scalar curvature and Betti numbers of compact Riemannian manifolds ⋮ Harmonic two-forms on manifolds with non-negative isotropic curvature ⋮ \(L^2\) harmonic forms on submanifolds in a Hadamard manifold ⋮ Mean curvature flow with surgeries of two-convex hypersurfaces ⋮ Homotopy type of manifolds with partially horoconvex boundary

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