On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes
This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-12-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/23/3103 |
| _version_ | 1797507451896987648 |
|---|---|
| author | Jianguo Sun Yanping Zhao Xiaoyan Jiang |
| author_facet | Jianguo Sun Yanping Zhao Xiaoyan Jiang |
| author_sort | Jianguo Sun |
| collection | DOAJ |
| description | This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike rectifying curves. Meanwhile, a detailed analysis between the <i>N</i>-type lightlike slant helices and the centrodes of lightlike curves is provided in this paper. We give the projections of the lightlike rectifying curves to the timelike planes. |
| first_indexed | 2024-03-10T04:48:42Z |
| format | Article |
| id | doaj.art-bb7e520fff1749dfa7accf9d573f7a99 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T04:48:42Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-bb7e520fff1749dfa7accf9d573f7a992023-11-23T02:46:04ZengMDPI AGMathematics2227-73902021-12-01923310310.3390/math9233103On the Geometrical Properties of the Lightlike Rectifying Curves and the CentrodesJianguo Sun0Yanping Zhao1Xiaoyan Jiang2School of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaThis paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike rectifying curves. Meanwhile, a detailed analysis between the <i>N</i>-type lightlike slant helices and the centrodes of lightlike curves is provided in this paper. We give the projections of the lightlike rectifying curves to the timelike planes.https://www.mdpi.com/2227-7390/9/23/3103Frenet equationslightlike rectifying curvecentrodelightlike slant helixprojection |
| spellingShingle | Jianguo Sun Yanping Zhao Xiaoyan Jiang On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes Mathematics Frenet equations lightlike rectifying curve centrode lightlike slant helix projection |
| title | On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes |
| title_full | On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes |
| title_fullStr | On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes |
| title_full_unstemmed | On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes |
| title_short | On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes |
| title_sort | on the geometrical properties of the lightlike rectifying curves and the centrodes |
| topic | Frenet equations lightlike rectifying curve centrode lightlike slant helix projection |
| url | https://www.mdpi.com/2227-7390/9/23/3103 |
| work_keys_str_mv | AT jianguosun onthegeometricalpropertiesofthelightlikerectifyingcurvesandthecentrodes AT yanpingzhao onthegeometricalpropertiesofthelightlikerectifyingcurvesandthecentrodes AT xiaoyanjiang onthegeometricalpropertiesofthelightlikerectifyingcurvesandthecentrodes |