Generalized Similar Frenet Curves

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

Mathematical Sciences and Applications E-Notes
Volume:5 Issue:2
Generalized Similar Frenet Curves

Generalized Similar Frenet Curves

Authors : Fatma ATEŞ, Seher KAYA, Yusuf YAYLI, F Nejat EKMEKCİ

Pages : 26-36

Doi:10.36753/mathenot.421731

View : 24 | Download : 12

Publication Date : 2017-10-30

Article Type : Research Paper

Abstract :The paper is devoted to differential geometric invariants determining a Frenet curve in En up to a direct similarity. These invariants can be presented by the Euclidean curvatures in terms of an arc lengths of the spherical indicatrices. Then, they expressed by focal curvatures of the curve. And then, we give the relationship between curvatures of evolute curve and shape curvatures. Morever, the geometric interpretations of these invariants are given.
Keywords : Self similar curves, Similar curves, Shape curvatures, Focal curvatures

ORIGINAL ARTICLE URL

* 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.

Index of Academic Documents
İzmir Academy Association
CopyRight © 2023-2026