On relaxed elastic lines of the second type on an oriented surface in the Galilean space \(G_3\)

DOI10.1007/s00025-017-0663-yzbMath1379.53005OpenAlexW2592716083MaRDI QIDQ2410830

Ayhan Tutar, Hellmuth Stachel, Ayhan Sarioğlugìl

Publication date: 19 October 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-017-0663-y

zbMATH Keywords

Euler-Lagrange equationsgeodesicselastic curveGalilean space

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Eigenvalues, singular values, and eigenvectors (15A18) Curves in Euclidean and related spaces (53A04) Local Riemannian geometry (53B20)

Cites Work

• The total squared curvature of closed curves
• Relaxed elastic lines of second kind on oriented surface in Minkowski space
• Ruled Weingarten surfaces in the Galilean space
• Intrinsic equations for a relaxed elastic line on an oriented surface
• Minding isometries of ruled surfaces in pseudo-Galilean space
• Special curves on ruled surfaces in Galilean and pseudo-Galilean spaces
• Elastic curves on the sphere
• Über die Flächen von Monge und Serret im isotropen Raum
• RECOVERING CONVEX SURFACES FROM THE EXTRINSIC CURVATURE IN GALILEAN SPACE
• Knotted Elastic Curves in R ³
• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• Relaxed elastic line on a curved surface
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