Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps
In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/7/1111 |
| _version_ | 1797563220092780544 |
|---|---|
| author | Jinhua Qian Xueshan Fu Seoung Dal Jung |
| author_facet | Jinhua Qian Xueshan Fu Seoung Dal Jung |
| author_sort | Jinhua Qian |
| collection | DOAJ |
| description | In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme. |
| first_indexed | 2024-03-10T18:39:25Z |
| format | Article |
| id | doaj.art-557be26e163c4709b3bfb6894a3fd84f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:39:25Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-557be26e163c4709b3bfb6894a3fd84f2023-11-20T05:57:21ZengMDPI AGMathematics2227-73902020-07-0187111110.3390/math8071111Dual Associate Null Scrolls with Generalized 1-Type Gauss MapsJinhua Qian0Xueshan Fu1Seoung Dal Jung2Department of Mathematics, Northeastern University, Shenyang 110004, ChinaDepartment of Mathematics, Jeju National University, Jeju 690-756, KoreaDepartment of Mathematics, Jeju National University, Jeju 690-756, KoreaIn this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme.https://www.mdpi.com/2227-7390/8/7/1111null curvenull scrollGauss mapMinkowski space |
| spellingShingle | Jinhua Qian Xueshan Fu Seoung Dal Jung Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps Mathematics null curve null scroll Gauss map Minkowski space |
| title | Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps |
| title_full | Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps |
| title_fullStr | Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps |
| title_full_unstemmed | Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps |
| title_short | Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps |
| title_sort | dual associate null scrolls with generalized 1 type gauss maps |
| topic | null curve null scroll Gauss map Minkowski space |
| url | https://www.mdpi.com/2227-7390/8/7/1111 |
| work_keys_str_mv | AT jinhuaqian dualassociatenullscrollswithgeneralized1typegaussmaps AT xueshanfu dualassociatenullscrollswithgeneralized1typegaussmaps AT seoungdaljung dualassociatenullscrollswithgeneralized1typegaussmaps |