Stability of the surface area preserving mean curvature flow in Euclidean space

Published 5 Nov 2012 in math.DG and math.AP | (1211.0764v1)

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).

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