Plane curves with curvature depending on distance to a line

DOI10.1016/j.difgeo.2015.11.002zbMath1353.53007OpenAlexW2175764934WikidataQ115355799 ScholiaQ115355799MaRDI QIDQ901069

Ildefonso Castro, Ildefonso Castro-Infantes

Publication date: 23 December 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2015.11.002

zbMATH Keywords

curvaturedistanceplane curvescatenarygrim-reaper

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (8)

New plane curves with curvature depending on distance from the origin ⋮ Spherical curves whose curvature depends on distance to a great circle ⋮ Curves whose curvature depends on their position and null curves ⋮ Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers ⋮ On a problem of David Singer about prescribing curvature for curves ⋮ Elastic Sturmian spirals in the Lorentz-Minkowski plane ⋮ Curves in the Lorentz-Minkowski plane with curvature depending on their position ⋮ Stationary soap films with vertical potentials

Cites Work

• The total squared curvature of closed curves
• Curves Whose Curvature Depends on Distance from the Origin
• On Some Deformations of the Cassinian Oval
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