ON M-Projectively Flat LP-Sasakian Manifolds
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.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1725-1732.
Citation Example: Zengin F. Ö. ON M-Projectively Flat LP-Sasakian Manifolds // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1560–1566.