Some Characterizations of Isotropic Curves In the Euclidean Space
| Main Authors: | Süha Yılmaz, Melih Turgut |
|---|---|
| Format: | Article Journal |
| Bahasa: | eng |
| Terbitan: |
, 2008
|
| Subjects: | |
| Online Access: |
https://zenodo.org/record/1055397 |
Daftar Isi:
- The curves, of which the square of the distance between the two points equal to zero, are called minimal or isotropic curves [4]. In this work, first, necessary and sufficient conditions to be a Pseudo Helix, which is a special case of such curves, are presented. Thereafter, it is proven that an isotropic curve-s position vector and pseudo curvature satisfy a vector differential equation of fourth order. Additionally, In view of solution of mentioned equation, position vector of pseudo helices is obtained.