Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space

dc.contributor.author	Güler, Erhan
dc.contributor.author	Turgay, Nurettin Cenk
dc.date.accessioned	2019-06-11T07:58:03Z
dc.date.available	2019-06-11T07:58:03Z
dc.date.created	2019
dc.date.issued	2019
dc.department	Fakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstract	We consider rotational hypersurface in the four-dimensional Euclidean space E4. We study the Gauss map G of rotational hypersurface in E4 with respect to the so-called Cheng–Yau operator L1 acting on the functions defined on the hypersurfaces. We obtain the classification theorem that the only rotational hypersurface with Gauss map G satisfying L1G = AG for some 4 × 4 matrix A are the hyperplanes, right circular hypercones, circular hypercylinders, and hyperspheres.
dc.identifier.endpage	16
dc.identifier.issue	3
dc.identifier.orcid	28161
dc.identifier.startpage	1
dc.identifier.uri	https://link.springer.com/article/10.1007/s00009-019-1333-y
dc.identifier.uri	https://hdl.handle.net/11772/1341
dc.identifier.volume	16
dc.language.iso	en
dc.publisher	Springer
dc.relation.ispartof	Mediterranean Journal of Mathematics
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	Euclidean spaces
dc.subject	Cheng–Yau operator
dc.subject	Finite type mappings
dc.subject	Rotational hypersurfaces
dc.subject	Lk-operators
dc.title	Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space
dc.type	Article
dspace.entity.type	Publication