On the surface the Fermi-Walker derivative in Minkowski 3-space

DOI10.1007/S00006-015-0618-XzbMath1342.53030OpenAlexW2238162959MaRDI QIDQ297578

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/s00006-015-0618-x

zbMATH Keywords

space-like surfaceDarboux vectorDarboux frameFermi-Walker derivativeFermi-Walker parallelismnon-rotating framespace-like curvetime-like curvetime-like surface

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• The Frenet and Darboux instantaneous rotation vectors of curves on time-like surface
• Relation between Darboux instantaneous rotation vectors of curves on a time-like surface
• The Fermi-Walker derivative in Minkowski space \(E_1^3\)
• 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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