Some Characterizations of Generalized Null Scrolls
In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean curvature, second Gaus...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/10/931 |
| _version_ | 1829481377064550400 |
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| 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 family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean curvature, second Gaussian curvature and the second mean curvature are given and related to each other. Last but not least, the generalized null scrolls whose base curves are k-type null helices are discussed and several examples are presented. |
| first_indexed | 2024-12-14T21:27:11Z |
| format | Article |
| id | doaj.art-4fd6d7ee7ed043fc8b69a478187a6bbf |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-14T21:27:11Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4fd6d7ee7ed043fc8b69a478187a6bbf2022-12-21T22:46:47ZengMDPI AGMathematics2227-73902019-10-0171093110.3390/math7100931math7100931Some Characterizations of Generalized Null ScrollsJinhua 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 family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean curvature, second Gaussian curvature and the second mean curvature are given and related to each other. Last but not least, the generalized null scrolls whose base curves are k-type null helices are discussed and several examples are presented.https://www.mdpi.com/2227-7390/7/10/931ruled surfacegeneralized null scrollnull curvek-type null helixstructure function |
| spellingShingle | Jinhua Qian Xueshan Fu Seoung Dal Jung Some Characterizations of Generalized Null Scrolls Mathematics ruled surface generalized null scroll null curve k-type null helix structure function |
| title | Some Characterizations of Generalized Null Scrolls |
| title_full | Some Characterizations of Generalized Null Scrolls |
| title_fullStr | Some Characterizations of Generalized Null Scrolls |
| title_full_unstemmed | Some Characterizations of Generalized Null Scrolls |
| title_short | Some Characterizations of Generalized Null Scrolls |
| title_sort | some characterizations of generalized null scrolls |
| topic | ruled surface generalized null scroll null curve k-type null helix structure function |
| url | https://www.mdpi.com/2227-7390/7/10/931 |
| work_keys_str_mv | AT jinhuaqian somecharacterizationsofgeneralizednullscrolls AT xueshanfu somecharacterizationsofgeneralizednullscrolls AT seoungdaljung somecharacterizationsofgeneralizednullscrolls |