Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space
Differential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored. The curvatures of these hypersurfaces are determined, and their minimality is examined, along with illustrative examples being provided. Lastly, the...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/3459717 |
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| _version_ | 1850109431761600512 |
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| author | Erhan Güler |
| author_facet | Erhan Güler |
| author_sort | Erhan Güler |
| collection | DOAJ |
| description | Differential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored. The curvatures of these hypersurfaces are determined, and their minimality is examined, along with illustrative examples being provided. Lastly, the Laplace–Beltrami operator for that kind of hypersurfaces is calculated. |
| format | Article |
| id | doaj-art-4a3c3ba5d6be4ce2876a9b07bdbc7b1a |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4a3c3ba5d6be4ce2876a9b07bdbc7b1a2025-08-20T02:38:05ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/3459717Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean SpaceErhan Güler0Faculty of SciencesDifferential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored. The curvatures of these hypersurfaces are determined, and their minimality is examined, along with illustrative examples being provided. Lastly, the Laplace–Beltrami operator for that kind of hypersurfaces is calculated.http://dx.doi.org/10.1155/2024/3459717 |
| spellingShingle | Erhan Güler Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space Journal of Mathematics |
| title | Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space |
| title_full | Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space |
| title_fullStr | Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space |
| title_full_unstemmed | Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space |
| title_short | Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space |
| title_sort | investigating helical hypersurfaces within 7 dimensional euclidean space |
| url | http://dx.doi.org/10.1155/2024/3459717 |
| work_keys_str_mv | AT erhanguler investigatinghelicalhypersurfaceswithin7dimensionaleuclideanspace |