On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

DOI10.1016/S0096-3003(03)00782-3zbMath1073.53031OpenAlexW2080285684MaRDI QIDQ1883543

Gerald S. Manning, Ahmet Yücesan, Nihat Ayyildiz, A. Ceylan Coken

Publication date: 13 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00782-3

zbMATH Keywords

geodesicEuler-Lagrange equationpseudo-Euclidean spacerelaxed elastic lineintrinsic equation

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Extremal curves for weighted elastic energy in surfaces of 3-space forms ⋮ Elastic line deformed on a pseudo-hypersurface by an external field in pseudo-Euclidean spaces

Cites Work

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• Intrinsic equations for a relaxed elastic line on an oriented surface
• Relaxed elastic line on a curved surface
• General relativity and cosmology

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