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