Quantitative $W^{2, \, p}$-stability for almost Einstein hypersurfaces
Differential Geometry
2017-03-08 v2
Abstract
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 a hypersurface is almost Einstein in a -sense, then it is - close to the round sphere. The result is given in a quantitative way.
Cite
@article{arxiv.1703.01846,
title = {Quantitative $W^{2, \, p}$-stability for almost Einstein hypersurfaces},
author = {Stefano Gioffrè},
journal= {arXiv preprint arXiv:1703.01846},
year = {2017}
}