SASAKIAN STATISTICAL MANIFOLDS WITH QSM-CONNECTION AND THEIR SUBMANIFOLDS
| dc.contributor.author | Kazan, Sema | |
| dc.date.accessioned | 2024-08-04T21:01:04Z | |
| dc.date.available | 2024-08-04T21:01:04Z | |
| dc.date.issued | 2023 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | In this present paper, we study QSM-connection (quarter symmetric metric connection) on Sasakian statistical manifolds. Firstly, we express the relation between the QSM-connection V similar to and the torsion free connection V and obtain the relation between the curvature tensors R similar to of similar to similar to the dual connection V* of V. Also, we give the relations between the curvature tensor R similar to of QSM-connection V similar to and the curvature tensors R and R* of the connections V and V* on Sasakian statistical manifolds. We obtain the relations between the Ricci tensor of QSM-connection V similar to and the Ricci tensors of the connections V and V*. After these, we construct an example of a 3-dimensional Sasakian manifold admitting the QSM-connection in order to verify our results. Finally, we study the sub manifolds with the induced connection with respect to QSM-connection of statistical manifolds. V and R of V. After then we obtain these relations for V and | en_US |
| dc.identifier.doi | 10.5831/HMJ.2023.45.3.471 | |
| dc.identifier.endpage | 490 | en_US |
| dc.identifier.issn | 1225-293X | |
| dc.identifier.issn | 2288-6176 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 471 | en_US |
| dc.identifier.uri | https://doi.org/10.5831/HMJ.2023.45.3.471 | |
| dc.identifier.uri | https://hdl.handle.net/11616/104072 | |
| dc.identifier.volume | 45 | en_US |
| dc.identifier.wos | WOS:001103986500012 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Honam Mathematical Soc | en_US |
| dc.relation.ispartof | Honam Mathematical Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | and phrases. Sasakian manifolds | en_US |
| dc.subject | statistical structure | en_US |
| dc.subject | dual connection | en_US |
| dc.subject | quarter-symmetric metric connection | en_US |
| dc.title | SASAKIAN STATISTICAL MANIFOLDS WITH QSM-CONNECTION AND THEIR SUBMANIFOLDS | en_US |
| dc.type | Article | en_US |
