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 |
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Pages (from-to) | 899-908 |
Number of pages | 10 |
Journal | Afrika Matematika |
Volume | 28 |
Issue number | 5-6 |
DOIs | |
Publication status | Published - 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).
Funders | Funder number |
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Kar-natak University, Dharwad | F1-17.1/2013-14/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