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20092026
most citedHypersurfaces with constant sectional curvature of $\Sf^n\times \R$ and $\Hy^n\times \R$

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math.DG2015

Submanifolds with nonpositive extrinsic curvature

Samuel Canevari, Guilherme Machado de Freitas, Fernando Manfio

We prove that complete submanifolds, on which the Omori-Yau weak maximum principle for the Hessian holds, with low codimension and bounded by cylinders of small radius must have po…