Hyperelastic Curves in 3-dimensional Lightlike Cone

DOI10.3906/mat-2102-102zbMath1500.53013OpenAlexW4205203003MaRDI QIDQ5101022

Sümeyra Tuğçe Kağizman, Ahmet Yücesan

Publication date: 2 September 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2102-102

zbMATH Keywords

Euler-Lagrange equationslight-like conehyperelastic curves

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Applications of differential geometry to physics (53Z05) Non-Euclidean differential geometry (53A35)

Cites Work

• Representation formulas of curves in a two- and three-dimensional lightlike cone
• A note on the \(p\)-elastica in a constant sectional curvature manifold
• The total squared curvature of closed curves
• Generalized elastic curves in the Lorentz flat space \(L^4\)
• Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
• Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces
• Curves in the lightlike cone
• Elastic curves on the sphere
• Erratum to: Representation formulas of curves in a two- and three-dimensional lightlike cone
• Erratum: ``Curves in the lightlike cone [Beitr. Algebra Geom. 45, No. 1, 291--303 (2004)]
• Generalized elastica on 2-dimensional de Sitter space S12
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE
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