M-projectively flat spacetimes

Füsun Özen Zengin

M-projectively flat spacetimes

Füsun Özen Zengin^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

60 Atıf (Scopus)

Özet

The object of the present paper is to study the M-projectively flat Riemannian manifold. It is shown that the M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about the energy-momentum ten-sor satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved. AMS 2010 Subject Classification: 53C15, 53C25, 53B15, 53B20.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	363-370
Sayfa sayısı	8
Dergi	Mathematical Reports
Hacim	14
Basın numarası	4
Yayın durumu	Yayınlandı - 2012

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Link to publication in Scopus

Alıntı Yap

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title = "M-projectively flat spacetimes",

abstract = "The object of the present paper is to study the M-projectively flat Riemannian manifold. It is shown that the M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about the energy-momentum ten-sor satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved. AMS 2010 Subject Classification: 53C15, 53C25, 53B15, 53B20.",

keywords = "Conformal killing vector field, Energy-momentum tensor, Killing vector field, M-projective curvature tensor, Quadratic conformal killing tensor, Quadratic killing tensor, Symmetry inheritance property",

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

year = "2012",

language = "English",

volume = "14",

pages = "363--370",

journal = "Mathematical Reports",

issn = "1582-3067",

publisher = "Publishing House of the Romanian Academy",

number = "4",

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TY - JOUR

T1 - M-projectively flat spacetimes

AU - Zengin, Füsun Özen

PY - 2012

Y1 - 2012

N2 - The object of the present paper is to study the M-projectively flat Riemannian manifold. It is shown that the M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about the energy-momentum ten-sor satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved. AMS 2010 Subject Classification: 53C15, 53C25, 53B15, 53B20.

AB - The object of the present paper is to study the M-projectively flat Riemannian manifold. It is shown that the M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about the energy-momentum ten-sor satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved. AMS 2010 Subject Classification: 53C15, 53C25, 53B15, 53B20.

KW - Conformal killing vector field

KW - Energy-momentum tensor

KW - Killing vector field

KW - M-projective curvature tensor

KW - Quadratic conformal killing tensor

KW - Quadratic killing tensor

KW - Symmetry inheritance property

UR - https://www.scopus.com/pages/publications/84898941465

M3 - Article

AN - SCOPUS:84898941465

SN - 1582-3067

VL - 14

SP - 363

EP - 370

JO - Mathematical Reports

JF - Mathematical Reports

IS - 4

ER -

M-projectively flat spacetimes

Özet

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