As on arXiv
Abstract
Using a modified curve shortening flow, we construct -Angenent curve, which was first constructed by the shooting method.
Comments: Accepted by Tohoku Mathematical Journal. arXiv admin note: substantial text overlap with arXiv:1708.08808 by other authors
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Non-uniqueness of curve shortening flow
Topics Curve shortening
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A Compact Non-convex Ancient Curve Shortening Flow
Topics Curve shortening
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Monotonicity of the modulus under curve shortening flow
Topics Curve shortening
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Delayed parabolic regularity for curve shortening flow
Topics Curve shortening
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On asymptotically conical curve shortening flows with convex projections
Topics Curve shortening
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Compact curve shortening flow solutions out of non compact curve
Topics Curve shortening
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The inverse curve shortening flow on the hyperbolic plane
Topics Curve shortening
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Curvature-Torsion Entropy for Twisted Curves under Curve Shortening Flow
Topics Curve shortening
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 6A.10Curve Shortening and the First Geometric Flows
Shrinking circles, grim reapers, neckpinches and Huisken’s monotonicity, seen in the plane.
- 12C.4Loops, Disks and Curve Shrinking
Perelman III §§2–3 and Morgan–Tian §§18.3–18.7: π₃ as spheres of loops, minimal disks and the −2π estimate, curve shrinking, ramps in M × S¹ and the estimates that make the argument rigorous.