Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms

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dc.authoridSahin, Bayram/0000-0002-9372-1151
dc.authoridVilcu, Gabriel-Eduard/0000-0001-6922-756X
dc.authorwosidVILCU, GABRIEL EDUARD/B-5314-2009
dc.authorwosidSahin, Bayram/AAG-7872-2021
dc.authorwosidVilcu, Gabriel-Eduard/AAB-9005-2019
dc.contributor.authorSlesar, Vladimir
dc.contributor.authorSahin, Bayram
dc.contributor.authorVilcu, Gabriel-Eduard
dc.date.accessioned2024-08-04T20:39:40Z
dc.date.available2024-08-04T20:39:40Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.en_US
dc.description.sponsorshipCNCS-UEFISCDI [PN-II-ID-PCE-2011-3-0118]en_US
dc.description.sponsorshipThe third author was supported by CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0118.en_US
dc.identifier.doi10.1186/1029-242X-2014-123
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84899742433en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/1029-242X-2014-123
dc.identifier.urihttps://hdl.handle.net/11616/96430
dc.identifier.wosWOS:000338219100002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectscalar curvatureen_US
dc.subjectmean curvatureen_US
dc.subjectCasorati curvatureen_US
dc.subjectshape operatoren_US
dc.subjectquaternionic space formen_US
dc.subjectslant submanifolden_US
dc.subjectoptimal inequalityen_US
dc.titleInequalities for the Casorati curvatures of slant submanifolds in quaternionic space formsen_US
dc.typeArticleen_US

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