81 citations · 250 across the 35 of their papers we have counts for
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Quantitative stability for hypersurfaces with almost constant curvature in space forms
Giulio Ciraolo, Alberto Roncoroni, Luigi Vezzoni
The Alexandrov Soap Bubble Theorem asserts that the distance spheres are the only embedded closed connected hypersurfaces in space forms having constant mean curvature. The theorem…
Stability of geometric flows of closed forms
Lucio Bedulli, Luigi Vezzoni
We prove a general result about the stability of geometric flows of "closed" sections of vector bundles on compact manifolds. Our theorem allows to prove a stability result for the…
Hermitian Curvature flow on unimodular Lie groups and static invariant metrics
Ramiro A. Lafuente, Mattia Pujia, Luigi Vezzoni
We investigate the Hermitian curvature flow (HCF) of left-invariant metrics on complex unimodular Lie groups. We show that in this setting the flow is governed by the Ricci-flow ty…
Lie Groups with flat Gauduchon connections
Luigi Vezzoni, Bo Yang, Fangyang Zheng
We pursuit the research line proposed in \cite{YZ-Gflat} about the classification of Hermitian manifolds whose -Gauduchon connection $\nabla^s =(1-\frac{s}{2})\nabla^c + \frac{s…
A remark on constant mean curvature hypersurfaces in warped product manifolds
Giulio Ciraolo, Alberto Roncoroni, Luigi Vezzoni
Alexandrov's theorem asserts that spheres are the only closed embedded constant mean curvature hypersurfaces in space forms. In this paper, we consider Alexandrov's theorem in warp…