On Bäcklund transformation and vortex filament equation for null Cartan curve in Minkowski 3-space
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Publication:1663435
DOI10.1007/s11040-016-9231-zzbMath1413.53047OpenAlexW2549186172MaRDI QIDQ1663435
Milica Grbović, Emilija Nešović
Publication date: 21 August 2018
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11040-016-9231-z
Applications of differential geometry to physics (53Z05) Global submanifolds (53C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (5)
On Bishop frame of a null Cartan curve in Minkowski space-time ⋮ Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold ⋮ Introduction to Cartan numbers and some geometric applications ⋮ On Backlund transformation and motion of null Cartan curves ⋮ On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space
Cites Work
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- MOTION OF SPACE CURVES IN THREE-DIMENSIONAL MINKOWSKI SPACE $R_1^{3}$, SO(2,1) SPIN EQUATION AND DEFOCUSING NONLINEAR SCHRÖDINGER EQUATION
- BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION
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- On the curvature and torsion of an isolated vortex filament
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