The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space

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dc.authoridGuler, Erhan/0000-0003-3264-6239
dc.contributor.authorGuler, Erhan
dc.contributor.authorHacisalihoglu, Hasan Hilmi
dc.contributor.authorKim, Young Ho
dc.date.accessioned2025-05-20T18:53:40Z
dc.date.issued2018
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractWe study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E-4. We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results. Then, we introduce the third Laplace-Beltrami operator. Moreover, we calculate the third Laplace-Beltrami operator of the rotational hypersurface in E-4. We also draw some figures of the rotational hypersurface.
dc.identifier.doi10.3390/sym10090398
dc.identifier.issn2073-8994
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85054418812
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.3390/sym10090398
dc.identifier.urihttps://hdl.handle.net/11552/6981
dc.identifier.volume10
dc.identifier.wosWOS:000447336700044
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectfour-space
dc.subjectrotational hypersurface
dc.subjectGauss map
dc.subjectGaussian curvature
dc.subjectmean curvature
dc.subjectthe third Laplace-Beltrami operator
dc.titleThe Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
dc.typeArticle

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