Mannheim offsets of ruled surfaces

DOI10.1155/2009/160917zbMath1184.53008OpenAlexW2002351086WikidataQ58648885 ScholiaQ58648885MaRDI QIDQ1036270

Emin Kasap, Keziban Orbay, İsmail Aydemir

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45797

zbMATH Keywords

spherical indicatrixMannheim offsetdevelopable ruled surfaceMannheim partner curves

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential line geometry (53A25)

Related Items (18)

Motion of Bishop Frenet offsets of ruled surfaces in \(E^3\) ⋮ Curves and ruled surfaces according to alternative frame in dual space ⋮ On the evolute offsets of ruled surfaces using the Darboux frame ⋮ The quaternionic expression of ruled surfaces ⋮ Bertrand offsets of ruled surfaces with Darboux frame ⋮ Unnamed Item ⋮ Dual Darboux frame of a timelike ruled surface and Darboux approach to Mannheim offsets of timelike ruled surfaces ⋮ Surface family with a common Mannheim B-pair asymptotic curve ⋮ On parallel p-equidistant ruled surfaces by using mofied orthogonal frame with curvature in E³ ⋮ Mannheim offsets of ruled surfaces under the 1-parameter motions ⋮ Ruled surfaces and tangent bundle of unit 2-sphere ⋮ Some characteristic properties of parallel \(z\)-equidistant ruled surfaces ⋮ On the evolute offsets of ruled surfaces in Minkowski 3-space ⋮ Unnamed Item ⋮ STUDYING ON A SKEW RULED SURFACE BY USING THE GEODESIC FRENET TRIHEDRON OF ITS GENERATOR ⋮ Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces ⋮ On the developable Mannheim offsets of timelike ruled surfaces ⋮ Study on BCN and BAN Ruled Surfaces in $\mathbb{E}^{3}$

Cites Work

• Bertrand offsets of ruled and developable surfaces
• Mannheim partner curves in 3-space
• Unnamed Item

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