THE FERMI–WALKER DERIVATIVE IN LIE GROUPS

DOI10.1142/S0219887813200119zbMath1272.53084WikidataQ115245408 ScholiaQ115245408MaRDI QIDQ2845345

Fatma Karakuş, Yusuf Yayli

Publication date: 22 August 2013

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

zbMATH Keywords

Lie groupDarboux vectorFermi-Walker derivativeFermi-Walker parallelismnon-rotating frameFrénet frameFrénet curve

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30) Applications of differential geometry to physics (53Z05) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (3)

Unitary vector fields are Fermi–Walker transported along Rytov–Legendre curves ⋮ Normal Fermi-Walker Derivative in $E_{1}^{3}$ ⋮ Framed curves in three-dimensional Lie groups and a Berry phase model

Uses Software

• CandS

Cites Work

• Unnamed Item
• A generalization of Lancret's theorem
• Constant mean curvature hypersurfaces in a Lie group with a bi-invariant metric
• Biharmonic curves in Minkowski 3-space
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• General Relativity for Mathematicians
• XXI.—Relative Co-ordinates
• General helices and a theorem of Lancret
• ON THE FERMI–WALKER DERIVATIVE AND NON-ROTATING FRAME
• The Large Scale Structure of Space-Time

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