The relatively osculating developable surfaces of a surface along a direction curve

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

Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
The relatively osculating developable surfaces of a surface along a direction curve

The relatively osculating developable surfaces of a surface along a direction curve

Authors : Yasin ÜNLÜTÜRK, Rashad ABDELBAKY

Pages : 511-527

Doi:10.31801/cfsuasmas.527231

View : 36 | Download : 8

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :We construct a developable surface tangent to a surface along a curve on the surface. We call this surface as relatively osculating developable surface. We choose the curve as the tangent normal direction curve on which the new surface is formed in the Euclidean 3-space. We obtain some results about the existence and uniqueness, and the singularities of such developable surfaces. We also give two invariants of curves on a surface which characterize these singularities. We present two results for special curves such as asymptotic line and line of curvature which are rulings of the relatively osculating surface.
Keywords : Relatively osculating developable surfaces, Curves on surfaces, Ruled surfaces, Direction curve, Singularities

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.