Energy functionals and normal forms of knots and plane curves

DOI10.1090/conm/788/15829zbMath1528.57007MaRDI QIDQ6049761

A. B. Sossinskij

Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

zbMATH Keywords

plane curvesenergy functionalsthickened knots

Mathematics Subject Classification ID

Knot theory (57K10)

Cites Work

• Mechanical normal forms of knots and flat knots
• Bringing closed polygonal curves in the plane to normal form via local moves
• Energy of a knot
• Thickness of knots
• Normal forms of unknotted ribbons and DNA
• Normal forms of twisted wire knots
• Euler elasticae in the plane and the Whitney-Graustein theorem
• Global curvature, thickness, and the ideal shapes of knots

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