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

DOĞAN YAZICI B., Tosun M.

Filomat, vol.38, no.8, pp.2813-2820, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 8
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2408813d
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2813-2820
  • Keywords: Myller configuration, Quasi-type frame, quasi-type osculating curves
  • Bilecik Şeyh Edebali University Affiliated: Yes

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 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.