Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers

DOI10.1515/math-2018-0069zbMath1426.53019OpenAlexW2884724687WikidataQ129496113 ScholiaQ129496113MaRDI QIDQ1738158

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

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0069

zbMATH Keywords

curvatureelastic curvescatenariesgrim-reaper curvesLorentzian curves

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (7)

Translating solitons of translation and homothetical types ⋮ The flow-curvature of spacelike parametrized curves in the Lorentz plane ⋮ Spherical curves whose curvature depends on distance to a great circle ⋮ Ruled translating solitons in Minkowski 3-space ⋮ Some characterizations of generalized null Mannheim curves in semi-Euclidean space ⋮ NON-NULL CURVES WITH CONSTANT WEIGHTED CURVATURE IN LORENTZ-MINKOWSKI PLANE WITH DENSITY ⋮ Curves in the Lorentz-Minkowski plane with curvature depending on their position

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