Ruled Surfaces with Constant Slope Ruling According to Darboux Frame in Minkowski Space

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AyÅŸe Yavuz
Yusuf Yayli

Abstract

In this study, three different types of ruled surfaces are defined. The generating lines of these ruled surfaces are given by points on a curve X in Minkowski Space, while the position vector of X have constant slope with respect to the planes (t, y), (t, n), (n, y). It is observed that the Lorentzian casual characters of the ruled surfaces with constant slope can be timelike or spacelike. Furthermore, striction lines of these surfaces are obtained and investigated under various special cases. Finally, new investigations are obtained on the base curve of these types of ruled surfaces.

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