Debora Impera

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20102023

most citedRigidity and gap results for low index properly immersed self--shrinkers in

R^{m + 1}

1 citations · 1 across the 3 of their papers we have counts for

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math.DG2023

Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow

Debora Impera, Michele Rimoldi

We prove an abstract structure theorem for weighted manifolds supporting a weighted $f$ -Poincaré inequality and whose ends satisfy a suitable non-integrability condition. We then s…

math.DG2014★ 1 cited

Rigidity and gap results for low index properly immersed self--shrinkers in $R^{m + 1}$

Debora Impera

In this paper we show that the only properly immersed self--shrinkers $Σ$ in $R^{m + 1}$ with Morse index $1$ are the hyperplanes through the origin. Moreover, we prove that…

math.DG2010

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…

Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow

Rigidity and gap results for low index properly immersed self--shrinkers in Rm+1

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

Rigidity and gap results for low index properly immersed self--shrinkers in $R^{m + 1}$

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