Rotational Surfaces Generated by Planar Curves in E3 with Density
<p>In this paper, we obtain the parametric expressions of curves which have zero weighted curvature in a plane with density $e^{ax+by}$ and create the Smarandache curves of the obtaining curves. Also, we construct the rotational surfaces which are generated by planar curves with vanishing weig...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-04-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1864 |
| _version_ | 1818952180628979712 |
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| author | Mustafa Altin Ahmet Kazan H. Bayram Karadag |
| author_facet | Mustafa Altin Ahmet Kazan H. Bayram Karadag |
| author_sort | Mustafa Altin |
| collection | DOAJ |
| description | <p>In this paper, we obtain the parametric expressions of curves which have zero weighted curvature in a plane with density $e^{ax+by}$ and create the Smarandache curves of the obtaining curves. Also, we construct the rotational surfaces which are generated by planar curves with vanishing weighted curvature and give some characterizations for them.</p> |
| first_indexed | 2024-12-20T09:46:17Z |
| format | Article |
| id | doaj.art-7e9586e4c5db4c62a9f689278171d9a5 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-20T09:46:17Z |
| publishDate | 2019-04-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-7e9586e4c5db4c62a9f689278171d9a52022-12-21T19:44:44ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-04-01173311328372Rotational Surfaces Generated by Planar Curves in E3 with DensityMustafa Altin0Ahmet Kazan1H. Bayram Karadag2Bingöl UniversityMalatya Turgut Özal Universityİnönü University<p>In this paper, we obtain the parametric expressions of curves which have zero weighted curvature in a plane with density $e^{ax+by}$ and create the Smarandache curves of the obtaining curves. Also, we construct the rotational surfaces which are generated by planar curves with vanishing weighted curvature and give some characterizations for them.</p>http://www.etamaths.com/index.php/ijaa/article/view/1864 |
| spellingShingle | Mustafa Altin Ahmet Kazan H. Bayram Karadag Rotational Surfaces Generated by Planar Curves in E3 with Density International Journal of Analysis and Applications |
| title | Rotational Surfaces Generated by Planar Curves in E3 with Density |
| title_full | Rotational Surfaces Generated by Planar Curves in E3 with Density |
| title_fullStr | Rotational Surfaces Generated by Planar Curves in E3 with Density |
| title_full_unstemmed | Rotational Surfaces Generated by Planar Curves in E3 with Density |
| title_short | Rotational Surfaces Generated by Planar Curves in E3 with Density |
| title_sort | rotational surfaces generated by planar curves in e3 with density |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1864 |
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