Dual Darboux Frame of a Timelike Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces
نویسندگان
چکیده
منابع مشابه
Mannheim Offsets of Ruled Surfaces
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 geodesi...
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In this paper, the Dual Darboux rotation axis for timelike dual space curve in the semi-dual space D 1 is decomposed in two simultaneous rotation. The axis of these simultaneous rotations are joined by a simple mechanism. This study is original corresponding in the semi-dual space D 1 of the article entitled On the Dual Darboux Rotation Axis of the Dual Space Curve [6]. Mathematics Subject Clas...
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A curve which is called geodesic on a surface M in Lorentz 3-space is a special curve that its acceleration is everywhere normal to M. In this paper, we analyzed the non-linear differential equation to determine the geodesic curves on ruled surfaces which is obtained by a strictly connected spacelike straight line moving with Frenet’s frame along a timelike curve in . When we assume that curvat...
متن کاملErratum to: "Ruled surfaces with timelike rulings" [Appl. Math. Comput. 147: (2004) 241-253]
In this paper, using [E. Kasap, _ I. Aydemir, N. Kuruoğlu, Erratum to: ‘‘Ruled surfaces with timelike rulings’’ [Appl. Math. Comput. 147 (2004) 241–253], Applied Mathematics and Computation 168 (2005) 1461–1468 [2]], some mistakes which are related to the classification maximal ruled surfaces with timelike rulings in the last section of [Applied Mathematics and Computation 147 (2004) 241–253 [1...
متن کاملthe involute-evolute offsets of ruled surfaces
in this study, a generalization of the theory of involute-evolute curves is presented for ruledsurfaces based on line geometry. using lines instead of points, two ruled surfaces which are offset in the senseof involute-evolute are defined. moreover, the found results are clarified using computer-aided examples
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
سال: 2013
ISSN: 0369-8203,2250-1762
DOI: 10.1007/s40010-013-0067-7