Quadric surfaces of finite Chen Ⅱ-type
In this paper we studied quadric surfaces in the Euclidean 3-space that were of finite type with respect to the second fundamental form Ⅱ. The main result presented in this article was that spheres were the only quadric surfaces of finite type. This indicated a specific and notable classification wi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241640 |
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| _version_ | 1832590745374031872 |
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| author | Mutaz Al-Sabbagh |
| author_facet | Mutaz Al-Sabbagh |
| author_sort | Mutaz Al-Sabbagh |
| collection | DOAJ |
| description | In this paper we studied quadric surfaces in the Euclidean 3-space that were of finite type with respect to the second fundamental form Ⅱ. The main result presented in this article was that spheres were the only quadric surfaces of finite type. This indicated a specific and notable classification within the broader category of quadric surfaces based on their finite type characteristics in relation to the second fundamental form. |
| format | Article |
| id | doaj-art-5c6ae9bd4ed944a69ab95d22300bdd77 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-5c6ae9bd4ed944a69ab95d22300bdd772025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912344353444610.3934/math.20241640Quadric surfaces of finite Chen Ⅱ-typeMutaz Al-Sabbagh0Department of Basic Engineering Sciences, Imam Abdulrahman bin Faisal University, Dammam 31441, Saudi ArabiaIn this paper we studied quadric surfaces in the Euclidean 3-space that were of finite type with respect to the second fundamental form Ⅱ. The main result presented in this article was that spheres were the only quadric surfaces of finite type. This indicated a specific and notable classification within the broader category of quadric surfaces based on their finite type characteristics in relation to the second fundamental form.https://www.aimspress.com/article/doi/10.3934/math.20241640surfaces in 3-spacefinite chen-type surfacessecond beltrami operatorquadric surfaces |
| spellingShingle | Mutaz Al-Sabbagh Quadric surfaces of finite Chen Ⅱ-type AIMS Mathematics surfaces in 3-space finite chen-type surfaces second beltrami operator quadric surfaces |
| title | Quadric surfaces of finite Chen Ⅱ-type |
| title_full | Quadric surfaces of finite Chen Ⅱ-type |
| title_fullStr | Quadric surfaces of finite Chen Ⅱ-type |
| title_full_unstemmed | Quadric surfaces of finite Chen Ⅱ-type |
| title_short | Quadric surfaces of finite Chen Ⅱ-type |
| title_sort | quadric surfaces of finite chen ii type |
| topic | surfaces in 3-space finite chen-type surfaces second beltrami operator quadric surfaces |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241640 |
| work_keys_str_mv | AT mutazalsabbagh quadricsurfacesoffinitecheniitype |