On the involute-evolute of the pseudonull curve in Minkowski 3-space (Q1790048)

Summary: We have generalized the involute and evolute curves of the pseudonull curves \(\alpha\) in \(\mathbb E_1^3\); that is, \(\alpha\) is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the pseudonull curves \(\alpha\) in \(\mathbb E_1^3\). Secondly, we have found relationships between the evolute curve \(\beta \) and the pseudonull curve \(\alpha\) in \(\mathbb E_1^3\). Finally, some examples concerning these relations are given.