A new method for inextensible flows of timelike curves in Minkowski space-time \(\mathbb E_1^4\)

DOI10.1155/2014/517070zbMath1314.53028OpenAlexW2079851316WikidataQ59049774 ScholiaQ59049774MaRDI QIDQ2019133

Talat Körpinar

Publication date: 27 March 2015

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/517070

zbMATH Keywords

Frenet frame

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (5)

Binormal motions of inextensible curves in de-Sitter space \(\mathbb{S}^{2,1}\) ⋮ On binormal magnetic curves with harmonicity in terms of inextensible flows in space ⋮ On velocity bimagnetic biharmonic particles with energy on Heisenberg space ⋮ On new characterization of inextensible flows of space-like curves in de Sitter space ⋮ A new version of Fermi Walker derivative with constant energy for normal image of slant helix in the Lie groups

Cites Work

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• Inextensible flows of curves and developable surfaces
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Shortening space curves and flow through singularities
• Evolving convex curves
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• Curve shortening in a Riemannian manifold

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