On M -projectively semisymmetric Lorentzian α -Sasakian manifolds

D. G. Prakasha; F. O. Zengin; Vasant Chavan

doi:10.1007/s13370-017-0493-9

On M -projectively semisymmetric Lorentzian α -Sasakian manifolds

D. G. Prakasha^*, F. O. Zengin, Vasant Chavan

^*Corresponding author for this work

Department of Mathematics Engineering

Karnatak University

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

6 Citations (Scopus)

Abstract

We consider M-projective curvature tensor on Lorentzian α- Sasakian manifolds and show that M-projectively semisymmetric Lorentzian α-Sasakian manifold is M-projectively flat. Further, it is shown that, M-projectively semisymmetric Lorentzian α-Sasakian manifold is semisymmetric. Finally, some results related to energy momentum tensor satisfying the Einstein field equation with cosmological constant of the M-projectively semisymmetric Lorentzian α-Sasakian space-times are investigated.

Original language	English
Pages (from-to)	899-908
Number of pages	10
Journal	Afrika Matematika
Volume	28
Issue number	5-6
DOIs	https://doi.org/10.1007/s13370-017-0493-9
Publication status	Published - 1 Sept 2017

Bibliographical note

Publisher Copyright:
© 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

Keywords

Einstein manifold
Energy-momentum tensor
Lorentzian α- Sasakian manifold
M-projective curvature tensor
M-projective semisymmetric

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10.1007/s13370-017-0493-9

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title = "On M -projectively semisymmetric Lorentzian α -Sasakian manifolds",

abstract = "We consider M-projective curvature tensor on Lorentzian α- Sasakian manifolds and show that M-projectively semisymmetric Lorentzian α-Sasakian manifold is M-projectively flat. Further, it is shown that, M-projectively semisymmetric Lorentzian α-Sasakian manifold is semisymmetric. Finally, some results related to energy momentum tensor satisfying the Einstein field equation with cosmological constant of the M-projectively semisymmetric Lorentzian α-Sasakian space-times are investigated.",

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author = "Prakasha, {D. G.} and Zengin, {F. O.} and Vasant Chavan",

note = "Publisher Copyright: {\textcopyright} 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.",

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doi = "10.1007/s13370-017-0493-9",

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T1 - On M -projectively semisymmetric Lorentzian α -Sasakian manifolds

AU - Prakasha, D. G.

AU - Zengin, F. O.

AU - Chavan, Vasant

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We consider M-projective curvature tensor on Lorentzian α- Sasakian manifolds and show that M-projectively semisymmetric Lorentzian α-Sasakian manifold is M-projectively flat. Further, it is shown that, M-projectively semisymmetric Lorentzian α-Sasakian manifold is semisymmetric. Finally, some results related to energy momentum tensor satisfying the Einstein field equation with cosmological constant of the M-projectively semisymmetric Lorentzian α-Sasakian space-times are investigated.

AB - We consider M-projective curvature tensor on Lorentzian α- Sasakian manifolds and show that M-projectively semisymmetric Lorentzian α-Sasakian manifold is M-projectively flat. Further, it is shown that, M-projectively semisymmetric Lorentzian α-Sasakian manifold is semisymmetric. Finally, some results related to energy momentum tensor satisfying the Einstein field equation with cosmological constant of the M-projectively semisymmetric Lorentzian α-Sasakian space-times are investigated.

KW - Einstein manifold

KW - Energy-momentum tensor

KW - Lorentzian α- Sasakian manifold

KW - M-projective curvature tensor

KW - M-projective semisymmetric

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DO - 10.1007/s13370-017-0493-9

M3 - Article

AN - SCOPUS:85027862382

SN - 1012-9405

VL - 28

SP - 899

EP - 908

JO - Afrika Matematika

JF - Afrika Matematika

IS - 5-6

ER -

On M -projectively semisymmetric Lorentzian α -Sasakian manifolds

Abstract

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