Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz-Minkowski 4-Space
MakaleAçık Erişim
Özet
In this paper, we deal with the canal hypersurfaces that are formed as the envelope of a family of pseudo-hyperspheres or pseudo-hyperbolic hyperspheres with centers lying on a pseudo-null curve with Bishop vector fields in four-dimensional Lorentz-Minkowski space. We give main theorems which contain the parametric expressions of these canal hypersurfaces along with their Gaussian, mean, and principal curvatures and important geometric characterizations. We also provide these characterizations for tubular hypersurfaces. Finally, we construct an example to allow for better understanding and comprehension of the results.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/10407Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Kazan, Ahmet | |
| dc.contributor.author | Kazan, Sema | |
| dc.contributor.author | Gur Mazlum, Sumeyye | |
| dc.contributor.author | Karaca, Emel | |
| dc.contributor.author | Altin, Mustafa | |
| dc.contributor.author | Grilli, Luca | |
| dc.date.accessioned | 2026-10-22T09:22:57.563673444Z | |
| dc.date.available | 2026-10-22T09:22:57.563673444Z | |
| dc.date.issued | 2026-05 | |
| dc.description.abstract | In this paper, we deal with the canal hypersurfaces that are formed as the envelope of a family of pseudo-hyperspheres or pseudo-hyperbolic hyperspheres with centers lying on a pseudo-null curve with Bishop vector fields in four-dimensional Lorentz-Minkowski space. We give main theorems which contain the parametric expressions of these canal hypersurfaces along with their Gaussian, mean, and principal curvatures and important geometric characterizations. We also provide these characterizations for tubular hypersurfaces. Finally, we construct an example to allow for better understanding and comprehension of the results. | |
| dc.description.sponsorship | Malatya Turgut zal University Scientific Research Projects Coordination Unit [24G22] | |
| dc.identifier.articlenumber | 935 | |
| dc.identifier.doi | 10.3390/sym18060935 | |
| dc.identifier.eissn | 2073-8994 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.issue | 6 | |
| dc.identifier.scopus | 2-s2.0-105043178367 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/10407 | |
| dc.identifier.volume | 18 | |
| dc.identifier.wos | WOS:001803497200001 | |
| dc.language.iso | en | |
| dc.publisher | MDPI | |
| dc.relation.ispartof | SYMMETRY-BASEL | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | pseudo-null curve | |
| dc.subject | Bishop frame | |
| dc.subject | canal hypersurface | |
| dc.subject | tubular hypersurface | |
| dc.subject | minimal hypersurface | |
| dc.subject.classification | Multidisciplinary Sciences | |
| dc.subject.classification | Science & Technology - Other Topics | |
| dc.subject.other | SURFACES | |
| dc.title | Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz-Minkowski 4-Space | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.openalex | 0 | |
| rdl.citation.scopus | 0 | |
| rdl.citation.wos | 0 | |
| rdl.oa.status | gold | |
| rdl.oa.url | https://doi.org/10.3390/sym18060935 | |
| rdl.source.index | WOS | |
| rdl.source.index | SCOPUS | |
| rdl.wos.index | Science Citation Index Expanded (SCI-EXPANDED) |
