A Note on Parametric Surfaces in Minkowski 3-Space
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that th...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/618340 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555845308645376 |
|---|---|
| author | Esra Betul Koc Ozturk |
| author_facet | Esra Betul Koc Ozturk |
| author_sort | Esra Betul Koc Ozturk |
| collection | DOAJ |
| description | With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces. |
| format | Article |
| id | doaj-art-1869bfe4abcf4a5e9437270052273438 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-1869bfe4abcf4a5e94372700522734382025-02-03T05:46:55ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/618340618340A Note on Parametric Surfaces in Minkowski 3-SpaceEsra Betul Koc Ozturk0Department of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri , TurkeyWith the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.http://dx.doi.org/10.1155/2014/618340 |
| spellingShingle | Esra Betul Koc Ozturk A Note on Parametric Surfaces in Minkowski 3-Space The Scientific World Journal |
| title | A Note on Parametric Surfaces in Minkowski 3-Space |
| title_full | A Note on Parametric Surfaces in Minkowski 3-Space |
| title_fullStr | A Note on Parametric Surfaces in Minkowski 3-Space |
| title_full_unstemmed | A Note on Parametric Surfaces in Minkowski 3-Space |
| title_short | A Note on Parametric Surfaces in Minkowski 3-Space |
| title_sort | note on parametric surfaces in minkowski 3 space |
| url | http://dx.doi.org/10.1155/2014/618340 |
| work_keys_str_mv | AT esrabetulkocozturk anoteonparametricsurfacesinminkowski3space AT esrabetulkocozturk noteonparametricsurfacesinminkowski3space |