Ruled surfaces corresponding to hyper-dual curves

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Aslan S., BEKAR M., YAYLI Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.51, no.1, pp.187-198, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.15672/hujms.988245
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.187-198
  • Keywords: hyper-dual numbers, unit hyper-dual sphere, hyper-dual curves, ruled surfaces, principal curve, CURVATURE THEORY, NUMBERS
  • Gazi University Affiliated: Yes

Abstract

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.