Publication: On 3-dimensional generalized (kappa, mu)-contact metric manifolds
dc.contributor.author | Shaikh, Absos Ali | |
dc.contributor.author | Bhaishya, K. K. | |
dc.contributor.buuauthor | Arslan, Kadri | |
dc.contributor.buuauthor | Murathan, Cengizhan | |
dc.contributor.department | Fen Edebiyat Fakültesi | |
dc.contributor.department | Matematik Bölümü | |
dc.contributor.orcid | 0000-0001-9331-7960 | |
dc.contributor.researcherid | AAG-8775-2021 | |
dc.contributor.researcherid | ABH-3658-2020 | |
dc.contributor.scopusid | 6603079141 | |
dc.contributor.scopusid | 6506718146 | |
dc.date.accessioned | 2024-03-12T05:58:24Z | |
dc.date.available | 2024-03-12T05:58:24Z | |
dc.date.issued | 2007 | |
dc.description.abstract | In the present study, we considered 3-dimensional generalized (kappa, mu)-contact metric manifolds. We proved that a 3-dimensional generalized (kappa, mu)-contact metric manifold is not locally phi-symmetric in the sense of Takahashi. However such a manifold is locally phi-symmetric provided that kappa and mu are constants. Also it is shown that if a 3-dimensional generalized (kappa, mu) -contact metric manifold is Ricci-symmetric, then it is a (kappa, mu)-contact metric manifold. Further we investigated certain conditions under which a generalized (kappa, mu)-contact metric manifold reduces to a (kappa, mu)-contact metric manifold. Then we obtain several necessary and sufficient conditions for the Ricci tensor of a generalized (kappa, mu)-contact metric manifold to be eta-parallel. Finally, we studied Ricci-semisymmetric generalized (kappa, mu)-contact metric manifolds and it is proved that such a manifold is either flat or a Sasakian manifold. | |
dc.identifier.citation | Shaikh, A. A. vd. (2007). "On 3-dimensional generalized (kappa, mu)-contact metric manifolds". Balkan Journal of Geometry and its Applications, 12(1), 122-134. | |
dc.identifier.eissn | 1843-2875 | |
dc.identifier.endpage | 134 | |
dc.identifier.issn | 1224-2780 | |
dc.identifier.issue | 1 | |
dc.identifier.scopus | 2-s2.0-34548348357 | |
dc.identifier.startpage | 122 | |
dc.identifier.uri | https://hdl.handle.net/11452/40341 | |
dc.identifier.volume | 12 | |
dc.identifier.wos | 000254879800012 | |
dc.language.iso | en | |
dc.publisher | Balkan Soc Geometers | |
dc.relation.collaboration | Yurt dışı | |
dc.relation.journal | Balkan Journal of Geometry and its Applications | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Mathematics | |
dc.subject | η-parallel Ricci tensor | |
dc.subject | Generalized (κ, μ)-contact manifolds | |
dc.subject | Locally φ-symmetric | |
dc.subject | Sasakian manifold | |
dc.subject.scopus | Warped Product; Kaehler Manifold; Sasakian Space Form | |
dc.subject.wos | Mathematics, applied | |
dc.subject.wos | Mathematics | |
dc.title | On 3-dimensional generalized (kappa, mu)-contact metric manifolds | |
dc.type | Article | |
dspace.entity.type | Publication | |
local.contributor.department | Fen Edebiyat Fakültesi/Matematik Bölümü | |
local.indexed.at | WOS | |
local.indexed.at | Scopus |
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