A new type of osculating curve in En

Bektaş Ö., Bekiryazıcı Z.

18. Uluslararası Geometri Sempozyumu, Malatya, Turkey, 12 - 13 July 2021, pp.81

  • Publication Type: Conference Paper / Summary Text
  • City: Malatya
  • Country: Turkey
  • Page Numbers: pp.81
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this study, we give a new type of osculating curve in the n-

dimensional Euclidean space. Using the de nition of an osculating

curve in lower dimensions we give a generalization of osculating curve

in En. Additionally, we show that the curvatures of the generalized

osculating curve construct the solution of a higher order di erential

equation.