Ruled surfaces corresponding to hyper-dual curves

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Aslan S., BEKAR M., YAYLI Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.1, ss.187-198, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15672/hujms.988245
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.187-198
  • Anahtar Kelimeler: hyper-dual numbers, unit hyper-dual sphere, hyper-dual curves, ruled surfaces, principal curve, CURVATURE THEORY, NUMBERS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give the definition of the concept of unit hyper-dual sphere. We take a subset of this sphere and show that each curve on this subset represents two ruled surfaces in three dimensional real vector space such that these ruled surfaces have a common base curve and their rulings are perpendicular. Finally, we give some examples to illustrate the applications of our main results.