M-projectively flat spacetimes

Füsun Özen Zengin

M-projectively flat spacetimes

Füsun Özen Zengin^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

58 Citations (Scopus)

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.

Original language	English
Pages (from-to)	363-370
Number of pages	8
Journal	Mathematical Reports
Volume	14
Issue number	4
Publication status	Published - 2012

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

Cite this

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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",

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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

Abstract

Keywords

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