Slant null scrolls in Minkowski 3-space E13

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2016

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In this study, we introduce a new type of null scrolls called slant null scrolls in Minkowski 3-space E13. We define three types of slant null scrolls called α-slant, β-slant and γ-slant null scrolls and give characterizations for a null scroll to be a slant null scroll. Moreover, for β-slant null scrolls, we obtain some nonlinear differential equations and we give some results by using their analytical solutions. Finally, we give some examples for the obtained results.

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