A geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifolds

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dc.authorscopusid36005641200
dc.authorscopusid55334498200
dc.authorscopusid22995782300
dc.authorscopusid22958580600
dc.contributor.authorUddin, Siraj
dc.contributor.authorMustafa, Abdulqader
dc.contributor.authorWong, Bernardine Renaldo
dc.contributor.authorÖzel, Cenap
dc.date.accessioned2024-09-25T19:42:55Z
dc.date.available2024-09-25T19:42:55Z
dc.date.issued2014
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractRecently, we have shown that there do not exist warped product semislant submanifolds of cosymplectic manifolds [K.A. Khan, V.A. Khan and Siraj Uddin, Balkan J. Geom. Appl. 13 (2008), 55{65]. The nearly co- symplectic structure generalizes the cosymplectic one. Therefore the nearly Kaehler structure generalizes the Kaehler structure in almost Hermitian set- ting. It is interesting that the warped product semi-slant submanifolds exist in the nearly cosymplectic case while in the cosymplectic case they do not. In the beginning, we prove some preparatory results and finally we obtain an inequality such as {norm of matrix} h {norm of matrix} 2 ? 4q csc2 ?{1+ 1/9 cos2 ?}{norm of matrix} ?r ln f {norm of matrix} 2 in terms of intrinsic and extrinsic invariants. The equality case is also considered.en_US
dc.identifier.endpage69en_US
dc.identifier.issn0041-6932
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84902953317en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage55en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12361
dc.identifier.volume55en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖzel, Cenap
dc.language.isoenen_US
dc.publisherUnion Matematica Argentinaen_US
dc.relation.ispartofRevista de la Union Matematica Argentinaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzYK_20240925en_US
dc.subjectNearly Cosymplectic Manifolden_US
dc.subjectSemi-Slant Submanifolden_US
dc.subjectSlant Submanifolden_US
dc.subjectWarped Productsen_US
dc.titleA geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifoldsen_US
dc.typeArticleen_US

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