Characterization of speherical helices in euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.22, no.2, pp.99-108, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 2
- Publication Date: 2014
- Doi Number: 10.2478/auom-2014-0035
- Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.99-108
- Keywords: Circle, Euclidean 3-spaces, General helices, Indicatrix
- Open Archive Collection: AVESIS Open Access Collection
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves. Also, we give some differential equations which are characterizations for (t), (n) and (b) to be general helix. Morever we give a characterization for tangent indicatrix (t) to be a circle.