Golden Riemannian Manifolds Having Constant Sectional Curvatures and Their Submanifolds

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dc.authoridSahin, Bayram/0000-0002-9372-1151
dc.authorscopusid55747162800
dc.authorscopusid8411354100
dc.authorscopusid56121792700
dc.authorwosidSahin, Bayram/AAG-7872-2021
dc.authorwosidÅ?ahin, Fulya/AAG-7858-2021
dc.contributor.authorSahin, Fulya
dc.contributor.authorSahin, Bayram
dc.contributor.authorErdogan, Feyza Esra
dc.date.accessioned2023-01-12T19:50:02Z
dc.date.available2023-01-12T19:50:02Z
dc.date.issued2022
dc.departmentN/A/Departmenten_US
dc.description.abstractWe study Golden Riemannian manifolds having constant sectional curvatures. First of all, we observed that if the Golden manifold has a constant (real) sectional curvature, then under certain conditions it is flat. Then, we examined holomorphic-like and holomorphic bisectional-like sectional curvatures. We have found that these both curvatures are zero on Golden Riemannian manifolds. Therefore, we have modified these notions by introducing the notion of Golden sectional curvature and we provide an example for this new notion. We then obtain the expression of curvature tensor field when the Golden sectional curvature is constant. Moreover, we applied this notion to submanifolds of Golden Riemannian manifolds and obtain existence theorems for semi-invariant submanifolds.en_US
dc.identifier.doi10.1007/s00009-022-02094-3
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issn1660-5446en_US
dc.identifier.issn1660-5454en_US
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85132572255en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00009-022-02094-3
dc.identifier.urihttps://hdl.handle.net/11454/75996
dc.identifier.volume19en_US
dc.identifier.wosWOS:000815077000003en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGolden ratioen_US
dc.subjectGolden Riemannian manifolden_US
dc.subjectsectional curvatureen_US
dc.subjectspace formen_US
dc.subjectEinstein manifolden_US
dc.subjectSemi-Invariant Submanifoldsen_US
dc.titleGolden Riemannian Manifolds Having Constant Sectional Curvatures and Their Submanifoldsen_US
dc.typeArticleen_US

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