The Fermi-Walker derivative on the spherical indicatrix of spacelike curve in Minkowski 3-space

DOI10.1007/s00006-015-0635-9zbMath1342.53016OpenAlexW2206000990MaRDI QIDQ297579

Yusuf Yayli, Fatma Karakuş

Publication date: 27 June 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0635-9

zbMATH Keywords

tangent indicatrixhelixslant helixbinormal indicatrixFermi-Walker derivativeFermi-Walker parallelismnon-rotating frameprincipal normal indicatrix

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35)

Cites Work

• The Fermi-Walker derivative on the spherical indicatrix of timelike curve in Minkowski 3-space
• The Frenet and Darboux instantaneous rotation vectors of curves on time-like surface
• Null general helices and submanifolds
• Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\)
• The Fermi-Walker derivative in Minkowski space \(E_1^3\)
• SLANT HELICES IN MINKOWSKI SPACE E₁³
• General Relativity for Mathematicians
• On the geometry of time-like surfaces
• XXI.—Relative Co-ordinates
• ON THE FERMI–WALKER DERIVATIVE AND NON-ROTATING FRAME
• The Large Scale Structure of Space-Time
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