Curves Whose Curvature Depends on Distance from the Origin

DOI10.2307/2589616zbMath1037.53500OpenAlexW4253637513MaRDI QIDQ2757415

David A. Singer

Publication date: 26 November 2001

Full work available at URL: https://doi.org/10.2307/2589616

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (9)

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

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