Debora Impera

Hypersurfaces of constant higher order mean curvature in warped products

In this paper we characterize compact and complete hypersurfaces with some constant higher order mean curvature into warped product spaces. Our approach is based on the use of a new trace operator version of the Omori-Yau maximum principle which seems to be interesting in its own.

Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes

In this paper we analyse the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes. We consider first the case of compact spacelike hypersurfaces, completing some previous results given in [ 2 ]. We next extend these results to the complete noncompact case. In that case, our approach is based on the use of a generalized version of the Omori–Yau maximum principle for trace type differential operators, recently given by the authors in [ 3 ].

Stability properties and topology at infinity of \(f\)-minimal hypersurfaces

We study stability properties of

A Sharp Height Estimate for Compact Hypersurfaces with Constant k -Mean Curvature in Warped Product Spaces

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Rigidity results and topology at infinity of translating solitons of the mean curvature flow

f-minimal hypersurfaces isometrically immersed in weighted manifolds with non-negative Bakry–Émery Ricci curvature under volume growth conditions. Moreover, exploiting a weighted version of a finiteness result and the adaptation to this setting of Li–Tam theory, we investigate the topology at infinity of

Erratum to “Some geometric properties of hypersurfaces with constant

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