Non-lightlike Bertrand W curves: a new approach by system of differential equations for position vector

DOI10.3934/math.2020348zbMath1484.53019OpenAlexW3036624793MaRDI QIDQ2132113

Melek Erdoğdu, Ayşe Yavuz

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020348

zbMATH Keywords

Minkowski spaceBertrand curveW curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (5)

Congruence of degenerate surface along pseudo null curve and Landau-Lifshitz equation ⋮ A dynamical approach to position vector of timelike curve by vectorial momentum, torque and tangential dual curve ⋮ On Backlund transformation and motion of null Cartan curves ⋮ Unnamed Item ⋮ Nonnull soliton surface associated with the Betchov-Da Rios equation

Cites Work

• Parallel frames of non-lightlike curves
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Genus formula for generalized offset curves
• An overview of offset curves and surfaces.
• Biharmonic curves in Minkowski 3-space
• On the integrability of Bertrand curves and Razzaboni surfaces.
• Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies
• Rotations with unit time-like quaternions in Minkowski 3-space
• Some properties of Bertrand curves in Lorentzian n-space 𝕃n
• Generalized Null Bertrand Curves In Minkowski Space-Time
• BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS
• Parallel frame of non-lightlike curves in Minkowski space-time
• Characterizations of special time-like curves in Lorentzian plane 𝕃2
• POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼₁³
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-lightlike Bertrand W curves: a new approach by system of differential equations for position vector