Non-lightlike framed rectifying curves in Minkowski 3-space
In this paper, we define non-lightlike framed rectifying curves. They may have singularities. We give equivalent definitions and a construction method for non-lightlike framed rectifying curves. Moreover, we also study the relationship between the non-lightlike framed rectifying curves and the non-l...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-10-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024273 |
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| author | Jiaqi Huang Kaixin Yao Donghe Pei |
| author_facet | Jiaqi Huang Kaixin Yao Donghe Pei |
| author_sort | Jiaqi Huang |
| collection | DOAJ |
| description | In this paper, we define non-lightlike framed rectifying curves. They may have singularities. We give equivalent definitions and a construction method for non-lightlike framed rectifying curves. Moreover, we also study the relationship between the non-lightlike framed rectifying curves and the non-lightlike framed helices, as well as the properties of the centrode of non-lightlike framed rectifying curves. |
| format | Article |
| id | doaj-art-14c90cf61fd147168b11b7dd15249274 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-14c90cf61fd147168b11b7dd152492742025-01-23T07:52:53ZengAIMS PressElectronic Research Archive2688-15942024-10-0132105914592510.3934/era.2024273Non-lightlike framed rectifying curves in Minkowski 3-spaceJiaqi Huang0Kaixin Yao1Donghe Pei2School of Mathematics and Statistics, Northeast Normal University, Changchun, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, ChinaIn this paper, we define non-lightlike framed rectifying curves. They may have singularities. We give equivalent definitions and a construction method for non-lightlike framed rectifying curves. Moreover, we also study the relationship between the non-lightlike framed rectifying curves and the non-lightlike framed helices, as well as the properties of the centrode of non-lightlike framed rectifying curves.https://www.aimspress.com/article/doi/10.3934/era.2024273non-lightlike framed rectifying curvessingularitiesnon-lightlike framed curveshelicescentrodes |
| spellingShingle | Jiaqi Huang Kaixin Yao Donghe Pei Non-lightlike framed rectifying curves in Minkowski 3-space Electronic Research Archive non-lightlike framed rectifying curves singularities non-lightlike framed curves helices centrodes |
| title | Non-lightlike framed rectifying curves in Minkowski 3-space |
| title_full | Non-lightlike framed rectifying curves in Minkowski 3-space |
| title_fullStr | Non-lightlike framed rectifying curves in Minkowski 3-space |
| title_full_unstemmed | Non-lightlike framed rectifying curves in Minkowski 3-space |
| title_short | Non-lightlike framed rectifying curves in Minkowski 3-space |
| title_sort | non lightlike framed rectifying curves in minkowski 3 space |
| topic | non-lightlike framed rectifying curves singularities non-lightlike framed curves helices centrodes |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024273 |
| work_keys_str_mv | AT jiaqihuang nonlightlikeframedrectifyingcurvesinminkowski3space AT kaixinyao nonlightlikeframedrectifyingcurvesinminkowski3space AT donghepei nonlightlikeframedrectifyingcurvesinminkowski3space |