Dergi makalesi Açık Erişim

Applications of a Special Generalized Quasi-Einstein Manifold

Kirik, Bahar; Zengin, Fusun Ozen


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        "affiliation": "Marmara Univ, Fac Arts & Sci, Dept Math, Goztepe Campus, TR-34722 Istanbul, Turkey", 
        "name": "Kirik, Bahar"
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        "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey", 
        "name": "Zengin, Fusun Ozen"
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    "description": "In this paper, we work on some properties of generalized quasi-Einstein and pseudo Ricci symmetric generalized quasi-Einstein manifolds. Firstly, some basic concepts about generalized quasi-Einstein manifolds are given. In the second section, the holonomy theory in 4-dimensional manifolds admitting a metric g is investigated and the holonomy algebras on these manifolds are determined. Then, we examine the existence of some vector fields on pseudo Ricci symmetric generalized quasi-Einstein manifolds and we prove some theorems. In the last section, as a special generalized quasi-Einstein space-time, pseudo Ricci symmetric generalized quasi-Einstein space-time is studied and some properties of it are obtained.", 
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