On M -projectively semisymmetric Lorentzian α -Sasakian manifolds

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)899-908
Number of pages10
JournalAfrika Matematika
Volume28
Issue number5-6
DOIs
Publication statusPublished - 1 Sept 2017

Bibliographical note

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

Funding

Acknowledgements The first author (DGP) is thankful to University Grants Commission, New Delhi, India, for financial support in the form of UGC-SAP-DRS-III Programme to the Department of Mathematics, Kar-natak University, Dharwad. Also, the third author (VC) is thankful to University Grants Commission, New Delhi, India, for financial support in the form of Rajiv Gandhi National fellowship (F1-17.1/2013-14/RGNF-2013-14-SC-KAR-46330). The first author (DGP) is thankful to University Grants Commission, New Delhi, India, for financial support in the form of UGC-SAP-DRS-III Programme to the Department of Mathematics, Karnatak University, Dharwad. Also, the third author (VC) is thankful to University Grants Commission, New Delhi, India, for financial support in the form of Rajiv Gandhi National fellowship (F1-17.1/2013-14/RGNF-2013-14-SC-KAR-46330).

FundersFunder number
Kar-natak University, DharwadF1-17.1/2013-14/RGNF-2013-14-SC-KAR-46330
UGC-SAP-DRS-III
University Grants Commission
Karnatak University Dharwad

    Keywords

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

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