Generalized osculating-type ruled surfaces of singular curves
Mathematical Methods in the Applied Sciences, vol.46, no.8, pp.8532-8545, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 8
- Publication Date: 2023
- Doi Number: 10.1002/mma.8997
- Journal Name: Mathematical Methods in the Applied Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.8532-8545
- Keywords: cross-cap, framed curve, framed surface, osculating-type ruled surface
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
In this study, we introduce generalized osculating-type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface. In addition, the singular point classes of the surface are examined, and the conditions for being a cross-cap surface are expressed. Generalized osculating-type ruled surface is considered as a framed surface and its basic invariants are found and some results are given. Finally, we give some examples and figures to support the theories.