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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