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Applications of a Special Generalized Quasi-Einstein Manifold

Kirik, Bahar; Zengin, Fusun Ozen


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{
  "DOI": "10.1007/s41980-018-0121-y", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Kirik", 
      "given": " Bahar"
    }, 
    {
      "family": "Zengin", 
      "given": " Fusun Ozen"
    }
  ], 
  "container_title": "BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY", 
  "id": "73235", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "page": "89-102", 
  "title": "Applications of a Special Generalized Quasi-Einstein Manifold", 
  "type": "article-journal", 
  "volume": "45"
}
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