On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space

[摘要] We have generalized the involute and evolute curvesof the pseudonull curvesαin𝔼13; that is,αis a spacelike curve with a nullprincipal normal. Firstly, we have shown that there is no involute of thepseudonull curvesαin𝔼13. Secondly, we have found relationships betweenthe evolute curveβand the pseudonull curveαin𝔼13. Finally, some examplesconcerning these relations are given.

[学科分类] 应用数学