On The B - Scrolls With Time - Like Generating Vector In 3 - Dimensional Minkowski Space E³?

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2009

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Beykent Üniversitesi

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Özet

In this paper, as special ruled surfaces, b-scrolls with space-like directrix are introduced in 3-dimensional Minkowski space E³1 , [1,3]. The generating vector of b-scroll is time like V³ binormal vector of space-like directrix curve. The normal vector, the matrix corresponding to the shape operator, the Gaussian and mean curvatures, fundamental forms I. and II., asymptotic lines and curvature lines of b-scrolls together with striction space are studied.

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B-scroll, time-like, ruled surfaces, shape operator

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Journal of Science and Technology 3 (1), 2009, 55 - 67

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