Characterizations of Adjoint Curves in Euclidean 3-Space
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, vol.89, no.1, pp.155-161, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 89 Issue: 1
- Publication Date: 2019
- Doi Number: 10.1007/s40010-017-0425-y
- Journal Name: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.155-161
- Keywords: Adjoint curves, Ruled surface, Tubular surface
- Uşak University Affiliated: Yes
Abstract
The characterizations of adjoint curves of a space curve in Euclidean 3-space have been done in the present study. A curve and its adjoint curve create new pairs like Bertrand and involute-evolute curves are obtained. Ruled surfaces such as normal and binormal surface with a base curve and adjoint of base curve are defined here. Tubular surface whose spine curve is an adjoint curve, is also defined.