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On M-Projective Curvature Tensor of Lorentzian <i>α</i>-Sasakian Manifolds
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On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds

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Abstract:

In this paper, we study the nature of Lorentzian α-Sasakian manifolds admitting M-projective curvature tensor. We show that M-projectively flat and irrotational M-projective curvature tensor of Lorentzian α-Sasakian manifolds are locally isometric to unit sphere Sn(c) , where c = α2. Next we study Lorentzian α-Sasakian manifold with conservative M-projective curvature tensor. Finally, we find certain geometrical results if the Lorentzian α-Sasakian manifold satisfying the relation M(X,Y)⋅R=0.

Info:

Periodical:
International Journal of Pure Mathematical Sciences (Volume 18)
Pages:
22-31
DOI:
https://doi.org/10.18052/www.scipress.com/IJPMS.18.22
Citation:
D.G. Prakasha and V. Chavan, "On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds", International Journal of Pure Mathematical Sciences, Vol. 18, pp. 22-31, 2017
Online since:
August 2017
Authors:
D.G. Prakasha, Vasant Chavan
Keywords:
Conservative M-Projective Curvature Tensor, Irrotational M-Projective Curvature Tensor, Lorentzian α-Sasakian Manifold, M-Projective Curvature Tensor, η-Einstein Manifold
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Open Access

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