New-type tangent indicatrix of involute and ruled surface according to Blaschke frame in dual space

Bilici M., Palavar S.

MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, cilt.16, sa.3, ss.199-207, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 3
  • Basım Tarihi: 2022
  • Dergi Adı: MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), CAB Abstracts, Communication Abstracts, Metadex, Veterinary Science Database, Directory of Open Access Journals, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.199-207
  • Anahtar Kelimeler: tangent indicatrix, involute curve, ruled surface, Blaschke frame, dual space
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study we first take the tangent vector of an involute curve in dual space as a generating vector and define the dual Blaschke frame and Blaschke invariants of a new type of tangent indicatrix of the involute curve. We then introduce the ruled surfaces generated by the dual Blashke frame using Study's transfer principle and compute the geometric invariants of these surfaces, thus obtaining some important results about them. We illustrate our method by presenting an example.