LOCAL STRUCTURE OF IDEAL KNOTS, II CONSTANT CURVATURE CASE

DOI10.1142/S0218216509007609zbMath1202.57005arXiv0706.1037MaRDI QIDQ5851755

Oguz C. Durumeric

Publication date: 25 January 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1037

zbMATH Keywords

normal injectivity radiusthickness of knotsideal knots

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04) Vector distributions (subbundles of the tangent bundles) (58A30)

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Cites Work

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• Thickness of knots
• Global curvature and self-contact of nonlinearly elastic curves and rods
• On the minimum ropelength of knots and links
• Local structure of ideal shapes of knots
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• Global curvature, thickness, and the ideal shapes of knots
• EXISTENCE OF IDEAL KNOTS
• Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres