most citedSelf-shrinkers of the mean curvature flow in arbitrary codimension

8 citations · 11 across the 2 of their papers we have counts for

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math.DG2005★ 8 cited

Self-shrinkers of the mean curvature flow in arbitrary codimension

Knut Smoczyk

For hypersurfaces of dimension greater than one, Huisken showed that compact self-shrinkers of the mean curvature flow with positive scalar mean curvature are spheres. We will prov…

math.DG2004★ 3 cited

Mean curvature flow with flat normal bundles

Knut Smoczyk, Guofang Wang, Y. L. Xin

We show that flatness of the normal bundle is preserved under the mean curvature flow in the Euclidean space and use this to generalize a classical result for hypersurfaces due to…