Normal Fermi-Walker Derivative in $E_{1}^{3}$

DOI10.22080/cjms.2020.10693.1295zbMath1463.53002OpenAlexW3006350834MaRDI QIDQ5135486

Yusuf Yayli, Özgür Keskin

Publication date: 20 November 2020

Full work available at URL: http://cjms.journals.umz.ac.ir/article_2490_bf6090cca725e6f23c4d635166e9aebd.pdf

zbMATH Keywords

Frenet framespace-like curvetime-like curvenormal Fermi-Walker derivativenormal non-rotating frame

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• THE FERMI–WALKER DERIVATIVE IN LIE GROUPS
• SLANT CURVES AND PARTICLES IN THREE-DIMENSIONAL WARPED PRODUCTS AND THEIR LANCRET INVARIANTS
• Unitary vector fields are Fermi–Walker transported along Rytov–Legendre curves
• Quantal phase factors accompanying adiabatic changes
• Curves of Constant Precession
• ON THE FERMI–WALKER DERIVATIVE AND NON-ROTATING FRAME
• The Fermi derivative in the hypersurfaces
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• The Large Scale Structure of Space-Time

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