New plane curves with curvature depending on distance from the origin

DOI10.1007/S00009-017-0912-ZzbMath1379.53002OpenAlexW2604606661MaRDI QIDQ1674177

Ildefonso Castro-Infantes, Jesús Castro-Infantes, Ildefonso Castro

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0912-z

zbMATH Keywords

curvaturedistanceplane curvesspirals

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (5)

Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ Spherical curves whose curvature depends on distance to a great circle ⋮ Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers ⋮ On a problem of David Singer about prescribing curvature for curves ⋮ Curves in the Lorentz-Minkowski plane with curvature depending on their position

Cites Work

• The total squared curvature of closed curves
• Plane curves with curvature depending on distance to a line
• Curves Whose Curvature Depends on Distance from the Origin
• On Some Deformations of the Cassinian Oval
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