scientific article; zbMATH DE number 6859554

zbMath1399.53023MaRDI QIDQ4635021

Rıdvan Cem Demirkol, Talat Körpinar, Vedat Asil

Publication date: 13 April 2018

Full work available at URL: http://www.etamaths.com/index.php/ijaa/article/view/1579

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zbMATH Keywords

energyMinkowski spaceDarboux vector fieldsurface curve

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Spherical magnetic flux flows with fractional Heisenberg spherical ferromagnetic spin of optical spherical flux density with fractional applications ⋮ New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction ⋮ Geometric magnetic phase for timelike spherical optical ferromagnetic model ⋮ Gravitational magnetic curves on 3D Riemannian manifolds ⋮ Tangent bimagnetic curves in terms of inextensible flows in space ⋮ A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves ⋮ A new approach on the energy of elastica and non-elastica in Minkowski space \(E_2^4\) ⋮ A new version of spherical magnetic curves in the de-Sitter space \(\mathcal S_1^2\)

Cites Work

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• Relationship between volume and energy of vector fields.
• Corrected energy of distributions on Riemannian manifolds
• On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
• Environmental bias and elastic curves on surfaces
• Hamiltonians for curves
• On the energy of a unit vector field
• On the energy of distributions, with application to the quaternionic Hopf fibrations

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