Representation formulas of curves in a two- and three-dimensional lightlike cone

DOI10.1007/s00025-011-0108-yzbMath1219.53007OpenAlexW1983527413MaRDI QIDQ545506

Qingxian Meng, Liu Hui-Li

Publication date: 22 June 2011

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0108-y

zbMATH Keywords

Riccati equationstructure functionrepresentation formulalight-like conecone curvecone curvaturecone torsion

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Unnamed Item ⋮ Riccati equations and cone curves in Minkowski 3-space ⋮ Moving frames and the characterization of curves that lie on a surface ⋮ Hyperelastic Curves in 3-dimensional Lightlike Cone ⋮ Magnetic trajectories on lightlike surfaces ⋮ Timelike surfaces in 3-dimensional lightlike cone ⋮ Curves in affine and semi-Euclidean spaces ⋮ Unnamed Item ⋮ Curves in three dimensional Riemannian space forms ⋮ Curves in three dimensional Riemannian space forms ⋮ A natural Frenet frame for null curves on the lightlike cone in Minkowski space \(\mathbb{R}^4_2 \)

Cites Work

• Curves in the lightlike cone
• Ruled surfaces with lightlike ruling in 3-Minkowski space
• Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space

This page was built for publication: Representation formulas of curves in a two- and three-dimensional lightlike cone