Generalized osculating-type ruled surfaces of singular curves

DOĞAN YAZICI B., İşbilir Z., Tosun M.

Mathematical Methods in the Applied Sciences, cilt.46, sa.8, ss.8532-8545, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.8997
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.8532-8545
  • Anahtar Kelimeler: cross-cap, framed curve, framed surface, osculating-type ruled surface
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this study, we introduce generalized osculating-type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface. In addition, the singular point classes of the surface are examined, and the conditions for being a cross-cap surface are expressed. Generalized osculating-type ruled surface is considered as a framed surface and its basic invariants are found and some results are given. Finally, we give some examples and figures to support the theories.