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math.DG2015
Hypersurfaces of two space forms and conformally flat hypersurfaces
S. Canevari, R. Tojeiro
We address the problem of determining the hypersurfaces with dimension of a pseudo-Riemannian space form of dimension , con…
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…