On the evolute offsets of ruled surfaces in Minkowski 3-space

DOI10.3906/mat-1502-11zbMath1424.53046OpenAlexW2330816350MaRDI QIDQ4633135

Dae Won Yoon

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1502-11

zbMATH Keywords

ruled surfacelinear Weingarten surfaceinvolute-evolute offset

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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On the evolute offsets of ruled surfaces using the Darboux frame ⋮ Unnamed Item ⋮ On special kinds of involute and evolute curves in 4-dimensional Minkowski space

Cites Work

• The involute-evolute offsets of ruled surfaces
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• Bertrand curves of AW(k)-type in Lorentzian space
• Mannheim offsets of ruled surfaces
• On generalized Mannheim curves in Euclidean 4-space
• The approximation of non-degenerate offset surfaces
• Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space
• Bertrand curves in 3-dimensional space forms
• Mannheim partner curves in 3-space
• The Bertrand offsets of ruled surfaces in \(\mathbb R_1^3\)