2 papers
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 ,…
math.DG2017
Quantitative -stability for almost Einstein hypersurfaces
Stefano Gioffrè
It is a well known fact that, if 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…