Mannheim Offsets of Ruled Surfaces | Zendy

Keziban Orbay | Zendy; Emîn Kasap | Zendy; İsmai̇l Aydemi̇r | Zendy

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Mannheim Offsets of Ruled Surfaces

Author(s) -

Keziban Orbay,

Emîn Kasap,

İsmai̇l Aydemi̇r

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/160917

Subject(s) - ruled surface , developable surface , offset (computer science) , geodesic , curvature , geometry , constant curvature , mathematics , surface (topology) , mathematical analysis , computer science , programming language

In a recent works Liu and Wang (2008; 2007) study the Mannheim partner curves in the three dimensional space. In this paper, we extend the theory of the Mannheim curves to ruled surfaces and define two ruled surfaces which are offset in the sense of Mannheim. It is shown that, every developable ruled surface have a Mannheim offset if and only if an equation should be satisfied between the geodesic curvature and the arc-length of spherical indicatrix of it. Moreover, we obtain that the Mannheim offset of developable ruled surface is constant distance from it. Finally, examples are also given

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