Applications of a Special Generalized Quasi-Einstein Manifold

Bahar Kırık; Füsun Özen Zengin

doi:10.1007/s41980-018-0121-y

Applications of a Special Generalized Quasi-Einstein Manifold

Bahar Kırık^*
, Füsun Özen Zengin

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Marmara University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	89-102
Sayfa sayısı	14
Dergi	Bulletin of the Iranian Mathematical Society
Hacim	45
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s41980-018-0121-y
Yayın durumu	Yayınlandı - 7 Şub 2019

Bibliyografik not

Publisher Copyright:
© 2018, Iranian Mathematical Society.

Finansman

Acknowledgements The authors are thankful to the reviewer for his/her careful reading of the paper and valuable comments. One of the authors (BK) thanks The Scientific and Technological Research Council of Turkey (TÜB˙TAK) for financial support. She also expresses her sincere thanks to Professor Graham Hall for many useful discussions during her research at the University of Aberdeen.

Finansörler
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1007/s41980-018-0121-y

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Applications of a Special Generalized Quasi-Einstein Manifold",

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.",

keywords = "Generalized quasi-Einstein manifold, Holonomy, Pseudo Ricci symmetric manifold, Vector field",

author = "Bahar Kırık and \{{\"O}zen Zengin\}, F{\"u}sun",

note = "Publisher Copyright: {\textcopyright} 2018, Iranian Mathematical Society.",

year = "2019",

month = feb,

day = "7",

doi = "10.1007/s41980-018-0121-y",

language = "English",

volume = "45",

pages = "89--102",

journal = "Bulletin of the Iranian Mathematical Society",

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TY - JOUR

T1 - Applications of a Special Generalized Quasi-Einstein Manifold

AU - Kırık, Bahar

AU - Özen Zengin, Füsun

PY - 2019/2/7

Y1 - 2019/2/7

N2 - 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.

AB - 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.

KW - Generalized quasi-Einstein manifold

KW - Holonomy

KW - Pseudo Ricci symmetric manifold

KW - Vector field

UR - https://www.scopus.com/pages/publications/85061662710

U2 - 10.1007/s41980-018-0121-y

DO - 10.1007/s41980-018-0121-y

M3 - Article

AN - SCOPUS:85061662710

SN - 1018-6301

VL - 45

SP - 89

EP - 102

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 1

ER -

Applications of a Special Generalized Quasi-Einstein Manifold

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap