Any smooth closed immersed curve in R^n with a one-to-one convex projection onto a 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow, enabling a perturbation result that is an analog of Huisken's conjecture.
Isoperimetric estimates for the curve shrinking flow in the plane
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Singularities of Curve Shortening Flow with Convex Projections
Any smooth closed immersed curve in R^n with a one-to-one convex projection onto a 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow, enabling a perturbation result that is an analog of Huisken's conjecture.