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).
On the nullity distribution of the second fundamental form of a submanifold of a space form
A pinching theorem for the first eigenvalue of the laplacian on hypersurface of the euclidean space
A Simple Formula for Scalar Curvature of Level Sets in Euclidean Spaces
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