4 papers
A class of minimal hypersurfaces in
C. do Rei Filho, S. Canevari
We prove that a minimal hypersurfaces with nonzero three distinct principal curvature cannot be isometrically immersed in $\mathbb{Q}^4(\tilde{c…
Complete submanifolds with relative nullity in space forms
Samuel Canevari, Guilherme Machado de Freitas, Felippe Guimarães +2
We use techniques based on the splitting tensor to explicitly integrate the Codazzi equation along the relative nullity distribution and express the second fundamental form in term…
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…
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…