A new approach for magnetic curves in 3D Riemannian manifolds

DOI10.1063/1.4870583zbMath1301.49123arXiv1311.5348OpenAlexW3098758203WikidataQ115333260 ScholiaQ115333260MaRDI QIDQ5171365

F. Nejat Ekmekci, Yusuf Yayli, Zehra Bozkurt, Ismail Gök

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5348

zbMATH Keywords

Lorentz forcevariational analysismagnetic flowdivergence free vector fieldoriented Riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Electro- and magnetostatics (78A30) Variational principles of physics (49S05) Manifolds and measure-geometric topics (49Q99)

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Cites Work

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• Knotted Elastic Curves in R ³
• General helices and a theorem of Lancret
• Knot Types, Homotopies and Stability of Closed Elastic Rods
• A soliton on a vortex filament

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