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 quasi-type osculating curve relative to the quasi-type frame in the Myller configuration. Then, we examine the relationships between the curvatures and invariants of the curve. 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.