Bi-null Cartan curves in semi-Euclidean spaces of index 2

DOI10.1007/s13366-011-0052-8zbMath1257.53031OpenAlexW2002360935MaRDI QIDQ695007

Makoto Sakaki

Publication date: 20 December 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0052-8

zbMATH Keywords

semi-Euclidean spaceCartan curvaturebi-null curveFrenet equation

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

k-TYPE BI-NULL CARTAN SLANT HELICES IN R6 2 ⋮ On osculating, normal and rectifying bi-null curves in ℝ⁶₃ ⋮ \(k\)-type bi-null slant helices in \(\mathbb {R}_{2}^{5}\) ⋮ Ruled surfaces with null curves and Frenet frame in pseudo-sphere and pseudo-hyperbolic space ⋮ Ruled surfaces with bi-null curves in \(\mathbb R_2^5\) ⋮ Lorentzian stationary surfaces and bi-null curves in ℝ25 ⋮ Bi-null curves with constant curvatures in \(\mathbb{R}_2^5\) ⋮ On bi-null Cartan curves in semi-Euclidean 6-space with index 3 ⋮ Singularities for one-parameter null hypersurfaces of anti-de Sitter spacelike curves in semi-Euclidean space ⋮ Lorentzian stationary surfaces and null curves in \({\mathbb R^4_2}\) ⋮ On osculating, normal and rectifying bi-null curves in $\mathbb{R}_{2}^{5}$

Cites Work

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• Curves in the lightlike cone
• On the Cartan curvatures of a null curve in Minkowski space-time
• NULL HELICES IN LORENTZIAN SPACE FORMS

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