Anholonomy according to three formulations of non-null curve evolution

DOI10.1142/S0219887817501754zbMath1386.82010OpenAlexW2744278456MaRDI QIDQ4599440

Nevin Gürbüz

Publication date: 2 January 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/s0219887817501754

zbMATH Keywords

Minkowski spacegeometric phaseanholonomy density

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Statistical mechanics of magnetic materials (82D40)

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Hasimoto maps for nonlinear Schrödinger equations in Minkowski space ⋮ Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold ⋮ New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02 ⋮ Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase ⋮ 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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