Generalized osculating‐type ruled surfaces of singular curves

DOI10.1002/mma.8997zbMath1529.58015MaRDI QIDQ6179842

Murat Tosun, Bahar Doğan Yazıcı, Zehra İşbilir

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

framed curveframed surfacecross-caposculating-type ruled surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Cites Work

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• Bertrand offsets of ruled and developable surfaces
• Framed curves in the Euclidean space
• Generalized normal ruled surface of a curve in the Euclidean 3-space
• Framed slant helices in Euclidean 3-space
• Existence conditions of framed curves for smooth curves
• Framed surfaces in the Euclidean space
• Invariants of non-developable ruled surfaces in Euclidean 3-space
• Singularities of ruled surfaces in ℝ³
• Legendre curves in the unit spherical bundle over the unit sphere and evolutes
• Normal developable surfaces of surfaces along curves
• Imagine Math
• Envelopes of legendre curves in the unit spherical bundle over the unit sphere
• Evolutes and focal surfaces of framed immersions in the Euclidean space
• Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
• Osculating-type Ruled Surfaces in the Euclidean 3-space

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