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Counterexamples to preservation of flat normal bundles under mean curvature flow

Kunikawa, Keita
arXiv (All) · Papers
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differential-geometry
We construct an embedded torus and an entire graph in $\mathbb{R}^4$ whose normal bundles are initially flat but lose this property instantaneously under mean curvature flow. We also give an example showing that the parallel principal normal condition is not preserved under mean curvature flow, even
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