Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz-Minkowski 4-Space

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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.

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AlanDeğerDil
dc.contributor.authorKazan, Ahmet
dc.contributor.authorKazan, Sema
dc.contributor.authorGur Mazlum, Sumeyye
dc.contributor.authorKaraca, Emel
dc.contributor.authorAltin, Mustafa
dc.contributor.authorGrilli, Luca
dc.date.accessioned2026-10-22T09:22:57.563673444Z
dc.date.available2026-10-22T09:22:57.563673444Z
dc.date.issued2026-05
dc.description.abstractIn 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.sponsorshipMalatya Turgut zal University Scientific Research Projects Coordination Unit [24G22]
dc.identifier.articlenumber935
dc.identifier.doi10.3390/sym18060935
dc.identifier.eissn2073-8994
dc.identifier.issn2073-8994
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105043178367
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/10407
dc.identifier.volume18
dc.identifier.wosWOS:001803497200001
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofSYMMETRY-BASEL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectpseudo-null curve
dc.subjectBishop frame
dc.subjectcanal hypersurface
dc.subjecttubular hypersurface
dc.subjectminimal hypersurface
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.subject.otherSURFACES
dc.titleCanal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz-Minkowski 4-Space
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.3390/sym18060935
rdl.scopus.quartileQ2
rdl.source.indexWOS
rdl.source.indexSCOPUS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)