Generated surfaces via inextensible flows of curves in \(\mathbb R^3\)

DOI10.1155/2016/6178961zbMath1435.53002OpenAlexW2417830800WikidataQ59125215 ScholiaQ59125215MaRDI QIDQ670275

Rawya A. Hussien, Samah Gaber Mohamed

Publication date: 18 March 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/6178961

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (10)

Geometry of curve flows in isotropic spaces ⋮ Evolution of space curves and the special ruled surfaces with modified orthogonal frame ⋮ Inextensible flows of curves on lightlike surfaces ⋮ Hasimoto surfaces in Galilean space \(G_3\) ⋮ Binormal motions of inextensible curves in de-Sitter space \(\mathbb{S}^{2,1}\) ⋮ Unnamed Item ⋮ New models of normal motions of the inextensible curves according to type-1 Bishop frame in ℝ3 ⋮ Second binormal motions of inextensible curves in 4-dimensional Galilean space ⋮ Minimal surface generating flow for space curves of non-vanishing torsion ⋮ New inextensible flows of principal normal spherical image

Uses Software

• Mathematica

Cites Work

• Integrable motions of curves in projective geometries
• Hamiltonian evolution of curves in classical affine geometries
• Motions of curves in similarity geometries and Burgers-mKdV hierarchies
• Geometric curve evolution and image processing
• Motion of Curves in Hyperboloids in the Minkowski Space II
• MOTION OF SPACE CURVES IN THREE-DIMENSIONAL MINKOWSKI SPACE $R_1^{3}$, SO(2,1) SPIN EQUATION AND DEFOCUSING NONLINEAR SCHRÖDINGER EQUATION
• Motion of Curves in Hyperboloid in the Minkowski Space
• Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces
• A soliton on a vortex filament

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