1 Ocak 2019 Dergi makalesi Açık Erişim

Kirik, Bahar; Zengin, Fusun Ozen

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    <subfield code="a">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.</subfield>
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    <subfield code="u">Marmara Univ, Fac Arts &amp; Sci, Dept Math, Goztepe Campus, TR-34722 Istanbul, Turkey</subfield>
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