SASAKIAN STATISTICAL MANIFOLDS WITH QSM-CONNECTION AND THEIR SUBMANIFOLDS
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Honam Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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
Açıklama
Anahtar Kelimeler
and phrases. Sasakian manifolds, statistical structure, dual connection, quarter-symmetric metric connection
Kaynak
Honam Mathematical Journal
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
45
Sayı
3
