Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space
In this study, we considered simple linear congruences of some curves/surfaces to generate parametric families of curves/surfaces. The method depends essentially on the position vector of a curve/surface and its signed unit normal. The shape of the normal congruence of the curve/surface can be predi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/4572689 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849223052949192704 |
|---|---|
| author | Betül Bulca Sokur |
| author_facet | Betül Bulca Sokur |
| author_sort | Betül Bulca Sokur |
| collection | DOAJ |
| description | In this study, we considered simple linear congruences of some curves/surfaces to generate parametric families of curves/surfaces. The method depends essentially on the position vector of a curve/surface and its signed unit normal. The shape of the normal congruence of the curve/surface can be predictably changed based on the sign of its unit normal. On the other hand, symmetry of surfaces refers to invariance under transformations such as reflections, rotations, or translations, which can also involve normal congruence. Considering the normal congruences of the surface of revolution to be minimal, some results on the meridian curves are obtained. Furthermore, some surface models are constructed over the meridian curves. |
| format | Article |
| id | doaj-art-beff09b9840c4d13890ff31c6c1eb2da |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-beff09b9840c4d13890ff31c6c1eb2da2025-08-26T00:00:06ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/4572689Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-SpaceBetül Bulca Sokur0Department of MathematicsIn this study, we considered simple linear congruences of some curves/surfaces to generate parametric families of curves/surfaces. The method depends essentially on the position vector of a curve/surface and its signed unit normal. The shape of the normal congruence of the curve/surface can be predictably changed based on the sign of its unit normal. On the other hand, symmetry of surfaces refers to invariance under transformations such as reflections, rotations, or translations, which can also involve normal congruence. Considering the normal congruences of the surface of revolution to be minimal, some results on the meridian curves are obtained. Furthermore, some surface models are constructed over the meridian curves.http://dx.doi.org/10.1155/jom/4572689 |
| spellingShingle | Betül Bulca Sokur Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space Journal of Mathematics |
| title | Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space |
| title_full | Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space |
| title_fullStr | Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space |
| title_full_unstemmed | Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space |
| title_short | Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space |
| title_sort | distance normal congruence of rotational surfaces in euclidean 3 space |
| url | http://dx.doi.org/10.1155/jom/4572689 |
| work_keys_str_mv | AT betulbulcasokur distancenormalcongruenceofrotationalsurfacesineuclidean3space |