Characterizations of a Bertrand Curve According to Darboux Vector

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Konuralp Journal of Mathematics
Volume:10 Issue:1
Characterizations of a Bertrand Curve According to Darboux Vector

Characterizations of a Bertrand Curve According to Darboux Vector

Authors : Süleyman ŞENYURT, Osman ÇAKIR

Pages : 112-117

View : 17 | Download : 9

Publication Date : 2022-04-15

Article Type : Research Paper

Abstract :In this paper, we first take a Bertrand curve pair and then we use Darboux vector instead of mean curvature vector to give characterizations of Bertrand partner curve by means of the Bertrand curve. By making use of the relations between the Frenet frames of the Bertrand curve pair we give the differential equations and sufficient conditions of harmonicityinsert ignore into journalissuearticles values(biharmonic or 1-type harmonic); of the Bertrand partner curve in terms of the Darboux vector of the Bertrand curve. After driving the conclusions we write an example to demonstrate how our assumptions come true
Keywords : Bertrand curve pair, differential equation, biharmonic curve, Laplace operator

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.