Some geometric properties of hypersurfaces with constant $r$-mean curvature in Euclidean space

Debora Impera, Luciano Mari, Marco Rigoli

Let $f:M\ra \erre^{m+1}$ be an isometrically immersed hypersurface. In this paper, we exploit recent results due to the authors in \cite{bimari} to analyze the stability of the dif…