E-Connections on the ε-Anti-Kähler Manifolds

Autor:	Zhizhi Chen, Yanlin Li, Aydin Gezer, Erkan Karakas, Cagri Karaman
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	ε-anti-Kähler manifold quarter-symmetric metric non-metric E-connections dual connection Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 9, p 1899 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14091899
Popis:	The paper undertakes certain special forms of the quarter symmetric metric and non-metric connections on an ε-anti-Kähler 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 ε-anti-Kähler 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e0277751320a417c95e1b4007b82b017 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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