Quasi-type frame and quasi-type osculating curves in Myller configuration

Abstract

In this article, we introduce a quasi-type frame and quasi-type osculating curves in Myller configuration. First, we obtain a quasi-type frame by using Frenet-type frame in Myller configuration. Then, we introduce quasi-type osculating curves. We obtain some relations for a curve to be a quasitype osculating curve relative to the quasi-type frame in the Myller configuration. Then, we examine the relationships between the curvatures and invariants of the quasi-type osculating curves. Finally, we give some classifications according to the special cases of quasi curvatures. We shown that these classifications are a generalization of work done in both Myller configuration and Euclidean space.