ON M-Projectively Flat LP-Sasakian Manifolds

Autor: Füsun Özen Zengin
Rok vydání: 2014
Předmět:
Zdroj: Ukrainian Mathematical Journal. 65:1725-1732
ISSN: 1573-9376
0041-5995
DOI: 10.1007/s11253-014-0895-x
Popis: 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.
Databáze: OpenAIRE