Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field
In this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing const...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/9640957 |
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| _version_ | 1841560164125114368 |
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| author | Mona Bin-Asfour Kholoud Saad Albalawi Mohammed Guediri |
| author_facet | Mona Bin-Asfour Kholoud Saad Albalawi Mohammed Guediri |
| author_sort | Mona Bin-Asfour |
| collection | DOAJ |
| description | In this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing constraints on the tangential component ψT and employing alternative proof techniques. In the second characterization, we specifically employ the support function θ. |
| format | Article |
| id | doaj-art-1087888adb9f467b941a3f4f3ae04865 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1087888adb9f467b941a3f4f3ae048652025-01-05T00:00:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/ijmm/9640957Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector FieldMona Bin-Asfour0Kholoud Saad Albalawi1Mohammed Guediri2Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsIn this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing constraints on the tangential component ψT and employing alternative proof techniques. In the second characterization, we specifically employ the support function θ.http://dx.doi.org/10.1155/ijmm/9640957 |
| spellingShingle | Mona Bin-Asfour Kholoud Saad Albalawi Mohammed Guediri Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field International Journal of Mathematics and Mathematical Sciences |
| title | Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field |
| title_full | Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field |
| title_fullStr | Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field |
| title_full_unstemmed | Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field |
| title_short | Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field |
| title_sort | characterizations of euclidean spheres in terms of the tangential part of the position vector field |
| url | http://dx.doi.org/10.1155/ijmm/9640957 |
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