Stefano Gioffrè

activity

20162018

most citedAbsence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces

12 citations · 15 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2018★ 12 cited

Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces

Antonio De Rosa, Stefano Gioffrè

We prove that, for every closed (not necessarily convex) hypersurface $Σ$ in $R^{n + 1}$ and every $p > n$ , the $L^{p}$ -norm of the trace-free part of the anisotropic second fun…

math.DG2017

Quantitative stability for anisotropic nearly umbilical hypersurfaces

Antonio De Rosa, Stefano Gioffrè

We prove a qualitative and a quantitative stability of the following rigidity theorem: an anisotropic totally umbilical closed hypersurface is the Wulff shape. Consider $n \geq 2$ ,…

math.DG2017

Quantitative $W^{2, p}$ -stability for almost Einstein hypersurfaces

Stefano Gioffrè

It is a well known fact that, if $Σ$ is an Einstein hypersurface with positive scalar curvature, then it is a round sphere. We give a stable version of this result showing that if…

math.DG2016★ 3 cited

A $W^{2, p}$ -estimate for nearly umbilical hypersurfaces

Stefano Gioffrè

Let $n \geq 2$ , $p \in (1, + \infty)$ be given and let $Σ$ be a $n$ -dimensional, closed hypersurface in $R^{n + 1}$ . Denote by $A$ its second fundamental form, and by $\mat…

Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces

Quantitative stability for anisotropic nearly umbilical hypersurfaces

Quantitative W2,p-stability for almost Einstein hypersurfaces

A W2,p-estimate for nearly umbilical hypersurfaces

Quantitative $W^{2, p}$ -stability for almost Einstein hypersurfaces

A $W^{2, p}$ -estimate for nearly umbilical hypersurfaces