In the present paper, we study the nature of LP-Sasakian manifolds admitting the M-projective curvature tensor. It is examined whether this manifold satisfies the condition W(X, Y ).R = 0. Moreover, it is proved that, in the M-projectively flat LP-Sasakian manifolds, the conditions R(X, Y ).R = 0 and R(X, Y ).S = 0 are satisfied. In the last part of the paper, an M-projectively flat space-time is introduced, and some properties of this space are obtained.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1560–1566, November, 2013.
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Zengin, F.Ö. ON M-Projectively Flat LP-Sasakian Manifolds. Ukr Math J 65, 1725–1732 (2014). https://doi.org/10.1007/s11253-014-0895-x
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DOI: https://doi.org/10.1007/s11253-014-0895-x