Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase

DOI10.1142/S0219887818500238zbMath1381.53164OpenAlexW2756756712MaRDI QIDQ4602872

Nevin Gürbüz

Publication date: 7 February 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500238

zbMATH Keywords

geometric phaseMinkowski 3-spaceDarboux frame

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (9)

Inextensible flows of curves on lightlike surfaces ⋮ Complex coupled dispersionless equations in Minkowski 3-space ⋮ Unnamed Item ⋮ New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02 ⋮ On the harmonic evolute of time-like Hasimoto surfaces in Lorentz–Minkowski space ⋮ The variation of the electric field along optic fiber for null Cartan and pseudo-null frames ⋮ Parallel transports and related phases according to Frenet and Darboux frame in ℝ13 ⋮ Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space ⋮ Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space

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