Hypersphere and the Third Laplace-Beltrami Operator

dc.contributor.author	Güler, Erhan
dc.date.accessioned	2025-10-18T08:21:50Z
dc.date.created	2022
dc.date.issued	2022
dc.department	Fakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstract	In this work, we examine the differential geometric objects of the hypersphere h in four dimensional Euclidean geometry E^4. Giving some notions of four dimension, we consider the ith curvature formulas of the hypersurfaces of E^4. In addition, we reveal the hypersphere satisfying ?^III h=Ahfor some 4×4 matrix A.
dc.identifier.doi	10.17798/bitlisfen.1109645
dc.identifier.endpage	732
dc.identifier.issn	2147-3129
dc.identifier.issn	2147-3188
dc.identifier.issue	2
dc.identifier.startpage	727
dc.identifier.trdizinid	1100831
dc.identifier.uri	https://search.trdizin.gov.tr/tr/yayin/detay/1100831
dc.identifier.uri	https://doi.org/10.17798/bitlisfen.1109645
dc.identifier.uri	https://hdl.handle.net/11772/17590
dc.identifier.volume	11
dc.indekslendigikaynak	TR-Dizin
dc.language.iso	en
dc.relation.ispartof	Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
dc.relation.publicationcategory	Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.snmz	TR-Dizin_20251017
dc.subject	Fizik
dc.subject	Katı Hal
dc.subject	Matematik
dc.subject	Fizik
dc.subject	Matematik
dc.subject	Gauss map
dc.subject	Third Laplace-Beltrami operator
dc.subject	Curvature
dc.subject	Euclidean space
dc.subject	Hypersphere
dc.title	Hypersphere and the Third Laplace-Beltrami Operator
dc.type	Article
dspace.entity.type	Publication

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