Global curvature for rectifiable loops

DOI10.1007/s00209-002-0448-0zbMath1071.53001OpenAlexW1968618850MaRDI QIDQ1566411

Heiko von der Mosel, Friedemann Schuricht

Publication date: 2 June 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0448-0

zbMATH Keywords

geometry of closed curves in Euclidean space

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Biochemistry, molecular biology (92C40) Curves in Euclidean and related spaces (53A04)

Related Items (14)

Characterizing \(W^{2,p}\) submanifolds by \(p\)-integrability of global curvatures ⋮ On rectifiable curves with \(L^{p}\)-bounds on global curvature: self-avoidance, regularity, and minimizing knots ⋮ Tangent-point repulsive potentials for a class of non-smooth \(m\)-dimensional sets in \(\mathbb R^n\). I: smoothing and self-avoidance effects ⋮ On some knot energies involving Menger curvature ⋮ TANGENT-POINT SELF-AVOIDANCE ENERGIES FOR CURVES ⋮ Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves ⋮ Integral Menger curvature for surfaces ⋮ Discrete thickness ⋮ Menger curvature as a knot energy ⋮ Discrete thickness ⋮ The elastic trefoil is the doubly covered circle ⋮ Global curvature for surfaces and area minimization under a thickness constraint ⋮ What are the longest ropes on the unit sphere? ⋮ Locking constraints for elastic rods and a curvature bound for spatial curves

This page was built for publication: Global curvature for rectifiable loops