Stability of the surface area preserving mean curvature flow in Euclidean space
arXiv:1211.0764
Abstract
We show that the surface area preserving mean curvature flow in Euclidean space exists for all time and converges exponentially to a round sphere, if initially the L^2-norm of the traceless second fundamental form is small (but the initial hypersurface is not necessarily convex).
17 pages