Paper · Sep 23, 2026
On asymptotically conical curve shortening flows with convex projections
As on arXiv
Abstract
In this work we study the long term behavior of the curve shortening flow of asymptotically conical curves with convex projections in .
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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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Curve Shortening Flow of Space Curves with Convex Projections
Topics Curve shortening · Shared terms “convex projection”
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Singularities of Curve Shortening Flow with Convex Projections
Topics Curve shortening · Shared terms “convex projection”
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Long-term behavior of curve shortening flow in
Topics Curve shortening · Shared terms “long term”, “term behavior”, “projection”
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Nonplanar ancient curve shortening flows in from grim reapers
Topics Curve shortening · Same author Alexander Mramor
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Compact curve shortening flow solutions out of non compact curve
Topics Curve shortening, Boundaries & non-compact
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Non-uniqueness of curve shortening flow
Topics Curve shortening
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Huisken's Distance Comparison Principle in Higher Codimension
Topics Curve shortening · Shared terms “convex projection”
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Topics Curve shortening · Shared terms “projection”
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.