Singular Special Curves in 3-Space Forms
We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-05-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/5/846 |
| _version_ | 1797567223725817856 |
|---|---|
| author | Jie Huang Donghe Pei |
| author_facet | Jie Huang Donghe Pei |
| author_sort | Jie Huang |
| collection | DOAJ |
| description | We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves. |
| first_indexed | 2024-03-10T19:38:38Z |
| format | Article |
| id | doaj.art-670f0f3786a143aabdd4f24adeda52ab |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:38:38Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-670f0f3786a143aabdd4f24adeda52ab2023-11-20T01:29:00ZengMDPI AGMathematics2227-73902020-05-018584610.3390/math8050846Singular Special Curves in 3-Space FormsJie Huang0Donghe Pei1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaWe study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves.https://www.mdpi.com/2227-7390/8/5/846Bertrand curvesMannheim curvesspace formssingularities |
| spellingShingle | Jie Huang Donghe Pei Singular Special Curves in 3-Space Forms Mathematics Bertrand curves Mannheim curves space forms singularities |
| title | Singular Special Curves in 3-Space Forms |
| title_full | Singular Special Curves in 3-Space Forms |
| title_fullStr | Singular Special Curves in 3-Space Forms |
| title_full_unstemmed | Singular Special Curves in 3-Space Forms |
| title_short | Singular Special Curves in 3-Space Forms |
| title_sort | singular special curves in 3 space forms |
| topic | Bertrand curves Mannheim curves space forms singularities |
| url | https://www.mdpi.com/2227-7390/8/5/846 |
| work_keys_str_mv | AT jiehuang singularspecialcurvesin3spaceforms AT donghepei singularspecialcurvesin3spaceforms |