Article 2022 · 1 atıf

<i>E</i>-Connections on the ε-Anti-Kahler Manifolds

Chen, Zhizhi, Li, Yanlin, Gezer, Aydin, Karakas, Erkan, Karaman, Cagri

Özet

The paper undertakes certain special forms of the quarter symmetric metric and non-metric connections on an epsilon-anti-Kahler manifold. Firstly, we deduce the relation between the Riemannian connection and the special forms of the quarter symmetric metric and non-metric connections. Then, we present some results concerning the torsion tensors of these connections. In addition, we find the forms of the curvature tensor, the Ricci curvature tensor and scalar curvature of such connections and we search the conditions for the epsilon-anti-Kahler manifold to be an Einstein space with respect to these connections. Finally, we study U(Ric)-vector fields with respect to these connections and give some results related to them.

Anahtar Kelimeler

epsilon-anti-Kahler manifold quarter-symmetric metric non-metric E-connections dual connection 4-DIMENSIONAL CR SUBMANIFOLDS LAGRANGIAN SUBMANIFOLDS SURFACES GEOMETRY RICCI

WoS Kategorileri

Multidisciplinary Sciences

Künye

Dergi: SYMMETRY-BASEL
Yıl: 2022
Cilt: 14
Sayı: 9
eISSN: 2073-8994
DOI: 10.3390/sym14091899
WoS UID: WOS:000857724400001

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