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

DOĞAN YAZICI B., Tosun M.

Filomat, cilt.38, sa.8, ss.2813-2820, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 8
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2408813d
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2813-2820
  • Anahtar Kelimeler: Myller configuration, Quasi-type frame, quasi-type osculating curves
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.