Curves whose curvature depends on their position and null curves

DOI10.1007/s00022-024-00716-7OpenAlexW4392795270MaRDI QIDQ6131543

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Publication date: 5 April 2024

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-024-00716-7

zbMATH Keywords

contact geometryprescribed curvaturenull curvesLorentzian 3-spaceplane geometries

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Plane curves with curvature depending on distance to a line
• The surfaces of Delaunay
• Curves in the Lorentz-Minkowski plane with curvature depending on their position
• Stationary soap films with vertical potentials
• Elastic curves and phase transitions
• Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses
• Evolutes of plane curves and null curves in Minkowski 3-space
• Curves Whose Curvature Depends on Distance from the Origin
• Lie sphere geometry. With applications to submanifolds
• Variations on the Tait-Kneser theorem

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