Curvature-torsion entropy for twisted curves under curve shortening flow

DOI10.1017/S0004972723000643zbMATH Open1544.53097MaRDI QIDQ6564352

Gabriel Khan

Publication date: 1 July 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

curve shortening flowAltschuler's planarity theoremtorsion-curvature entropy

Mathematics Subject Classification ID

Propagation of singularities; initial value problems on manifolds (58J47) Blow-up in context of PDEs (35B44) Flows related to mean curvature (53E10)

Cites Work

• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Singularities of the curve shrinking flow for space curves
• Shortening space curves and flow through singularities
• Curve shortening flow in arbitrary dimensional Euclidean space
• On Closed Twisted Curves
• Four Vertices of a Convex Space Curve

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