On the involutes for dual split quaternionic curves. (English) Zbl 1336.53008
Summary: In this study, definition of involute-evolute curves for semi-dual quaternionic curves in semi-dual spaces \(\mathbb D_2^4\) known as dual split quaternion and \(\mathbb D_1^3\) are given and also some well-known theorems for involute-evolute dual split quaternionic curves are obtained.
MSC:
53A05 | Surfaces in Euclidean and related spaces |
53A04 | Curves in Euclidean and related spaces |
53A17 | Differential geometric aspects in kinematics |
53A25 | Differential line geometry |